Finding the Third Proportional to 37,156,706,128,502 and 51,663,429,831,729

Step by Step Solution

1. Step 1: Write the proportion equation
   37,156,706,128,502 : 51,663,429,831,729 = 51,663,429,831,729 : x
2. Step 2: Convert to fraction form
   37,156,706,128,502/51,663,429,831,729 = 51,663,429,831,729/x
3. Step 3: Cross multiply
   37,156,706,128,502x = 51,663,429,831,729 × 51,663,429,831,729
4. Step 4: Simplify right side
   37,156,706,128,502x = 2,669,109,981,977,985,735,211,352,064
5. Step 5: Solve for x
   x = 2,669,109,981,977,985,735,211,352,064/37,156,706,128,502
6. Step 6: Final answer
   x = 71,833,869,577,868.12