An exact answer is not possible. It might be possible to give a number that the 3rd Army was supposed to have on any particular day, according to the Table of Organization and Equipment of the various units assigned that day to the 3rd Army. Almost assuredly though on that given day the number actually available would have been less, due to mechanical issues and battle damage. To find the ACTUAL number available on that particular day would require delving deeply into the daily reports of those subordinate units, buried in the National Archives.
In WWII tanks were found in two types of units. There were several hundred "Independent" Tank Battalions, which were not a permanent part of any larger formation. These were in addition to the sixteen Armored Divisions. The existence of these two types of tank units was due to the fact that in 1940, on the eve of the war, nobody knew what the proper role was for tanks. Should they be dispersed among and used to support infantry? Or should they be massed into large formations and used for smashing, slashing breakthroughs? In the end, the Army decided to do both, and created the Independent Battalions to support the infantry, and the armored divisions for breakthrough and exploitation. There were independent battalions of numerous types, not just tanks. The idea was that these battalions (artillery, signals, engineers, tank, tank destroyer, etc) would be assigned to HQs higher than a division, which is to say to corps or field army HQs. Then, they could be moved around as needed, to supplement the "bare bones" WWII infantry divisions. For this reason the independent battalions are sometimes referred to as "corps troops" or "army troops". Sometimes they were also called "bastard battalions" (no parent unit). In practice though, in Europe, Independent Tank Battalions, though only "attached" to infantry divisions on a "temporary" basis, often stayed with the same division for months, and developed good teamwork.
Of the sixteen WWII armored divisions, one was in Italy, and the other fifteen were in Western Europe. (Tanks in the Pacific were all Independent Battalions). There were also about 45 infantry divisions in Europe. This meant the typical army corps had three infantry divisions and one armored division.
Divisions could be, and were, moved from corps to corps, often shifting to the command of the corps "next door" in the line. Similarly, corps could be, and were shifted from field army to field army, as needed. This happened in all the field armies in the line in France and Germany. I believe the XII Corps and the XX Corps were in the 3rd Army the entire time, but others came and went. A field army usually had from two to four corps in it. And of course the various corps had their "corps troops" and the army had its "army troops".
The Table of Organization and Equipment for an armored division was changed several times, changing the number of tanks a division was supposed to have. See Related Link below for an excellent discussion.
For all these reasons giving a precise answer to your question is almost impossible, and the answer would differ for different days.
During the Vietnam War: 1. US forces used M48A3 Patton medium gun tanks and M551 Sheridan light tanks (Armored Airborne Reconnaissance Assault Vehicles). 2. ARVN forces (South Viet Army) used US supplied M41 Walker Bulldog light tanks. 3. Australian forces used Centurion medium gun tanks. 4. NVA (North Viet Army) used Soviet/Chicom supplied T54 or T55 medium gun tanks and PT76 Amphibious light tanks. During the early stages of the war, there were some old left over WWII Japanese Type 95 light tanks being used by the French supported forces.
Both USMC and US Army tank battalion in Vietnam had 57 to 58 Patton tanks per battalion. 17 Pattons per company (5 per platoon, 2 in headquarters platoon).
gettysburg
If by third Army you mean the Third Reich, or Nazi Germany, Adolf Hitler was the Military leader. Lieutenant General Walter Krueger, May 1941 to February 1943 Lieutenant General Courtney Hodges, February 1943 to December 1943 In December 1943 the Third Army was transferred to the European Theater and came under the command of General Patton.
During the Vietnam War US Army & US Marine Corps tank battalions consisted of about 57 M48A3 Patton tanks (sometimes 58 tanks). The M48 Patton was technically called the M48 90mm Gun Tank. 3 line companies of 17 Pattons per company, 3 platoons consisting of 5 Pattons per platoon. The remaining 2 tanks were in Headquarters Platoon (the captain & XO's tanks). The remaining 6 or 7 Pattons were in HHC company (Headquarters and Headquarters Company). That took care of the tanks, then there were M113 Scout vehicles (Armored Personnel Carriers/Armored Cavalry Assault Vehicles), M125 Mortar Tracks, Medic Tracks, Maintenance Tracks, all being modified M113s. Plus about four M88 VTR (Vehicle Tracked Retrievers), and 1/4 tons (jeeps). ALL OF THESE WERE IN HHC company. The whole tank battalion consisted of about 600 men; less than half of whom were tank crewmen.
Not the highest. Highest is General of the Armies. He was one step below, which is just a General
For the US Army; Vietnam era: 5 Patton tanks to a platoon; 3 platoons and 1 HQ's platoon (2 Pattons) per company (17 Pattons total). 3 line companies (aka letter companies) and a HQ's company per tank battalion (total about 57 or 58 tanks). Two or more battalions=brigade; two or more brigades=division; two or more divisions=corps.
During the Vietnam War: 1. US forces used M48A3 Patton medium gun tanks and M551 Sheridan light tanks (Armored Airborne Reconnaissance Assault Vehicles). 2. ARVN forces (South Viet Army) used US supplied M41 Walker Bulldog light tanks. 3. Australian forces used Centurion medium gun tanks. 4. NVA (North Viet Army) used Soviet/Chicom supplied T54 or T55 medium gun tanks and PT76 Amphibious light tanks. During the early stages of the war, there were some old left over WWII Japanese Type 95 light tanks being used by the French supported forces.
Both USMC and US Army tank battalion in Vietnam had 57 to 58 Patton tanks per battalion. 17 Pattons per company (5 per platoon, 2 in headquarters platoon).
The village Foy is located in Belgium, near the town of Bastogne. The town is famous for its occupation by George S Pattons Third army during World War II.
During the Vietnam War, US Army & Marine tank battalions consisted of 57 to 58 Patton medium tanks. US Armored Cavalry Squadrons in Vietnam consisted of about 27 Pattons per Troop, then switched to M551 Sheridans in 1969; again, 27 tanks per Troop (company), only Sheridans instead of Patton tanks. Roughly 81 Sheridans per squadron.
General Hodges was honored to be appointed to command the US Third Army in Europe. His handicap was that General Kruger took most of the best officers of the Third Army to join him in the new Sixth Army.
gettysburg
Both US President Roosevelt and Allied Theater commander, General Eisenhower believed the General Hodges needed to be replaced as the commander of the US Third Army in 1944. They agreed that General George S. Patton should take command of the Third Army.
Wood was never used in the construction of army tanks.
During the Vietnam war US Army armor companies consisted of 17 M48A3 90mm Gun Tanks (Pattons). 3 platoons of 5 Pattons per platoon; the remaining two Pattons were in Headquarters Platoon (Captain & XO's tank). The "platoon" consisted to two sections: Heavy section led by the Plt Ldr (Lieutenant) and the Light section led by the Plt Sgt (E-6 or E-7/Staff Sergeant/Sergeant First Class). Each 5 tank plt was numbered thusly: 11, 12, 13, 14, 15 for the 1st plt. Second plt would be 21, 22, 23, 24, 25, and the third herd was numbered 31, 32, 33, 34, and 35. Headquarters plt might be a single digit number.
Dwight David Eisenhower.