Finding the Third Proportional to 37,156,706,128,500 and 51,663,429,831,726

Step by Step Solution

1. Step 1: Write the proportion equation
   37,156,706,128,500 : 51,663,429,831,726 = 51,663,429,831,726 : x
2. Step 2: Convert to fraction form
   37,156,706,128,500/51,663,429,831,726 = 51,663,429,831,726/x
3. Step 3: Cross multiply
   37,156,706,128,500x = 51,663,429,831,726 × 51,663,429,831,726
4. Step 4: Simplify right side
   37,156,706,128,500x = 2,669,109,981,977,676,222,688,133,120
5. Step 5: Solve for x
   x = 2,669,109,981,977,676,222,688,133,120/37,156,706,128,500
6. Step 6: Final answer
   x = 71,833,869,577,863.66