Finding the Third Proportional to 3,665,516,974,128 and 7,435,551,623,040

Step by Step Solution

1. Step 1: Write the proportion equation
   3,665,516,974,128 : 7,435,551,623,040 = 7,435,551,623,040 : x
2. Step 2: Convert to fraction form
   3,665,516,974,128/7,435,551,623,040 = 7,435,551,623,040/x
3. Step 3: Cross multiply
   3,665,516,974,128x = 7,435,551,623,040 × 7,435,551,623,040
4. Step 4: Simplify right side
   3,665,516,974,128x = 55,287,427,938,892,777,143,664,640
5. Step 5: Solve for x
   x = 55,287,427,938,892,777,143,664,640/3,665,516,974,128
6. Step 6: Final answer
   x = 15,083,118,787,642.57