Finding the Third Proportional to 31,836,928,564 and 68,146,189,022

Step by Step Solution

1. Step 1: Write the proportion equation
   31,836,928,564 : 68,146,189,022 = 68,146,189,022 : x
2. Step 2: Convert to fraction form
   31,836,928,564/68,146,189,022 = 68,146,189,022/x
3. Step 3: Cross multiply
   31,836,928,564x = 68,146,189,022 × 68,146,189,022
4. Step 4: Simplify right side
   31,836,928,564x = 4,643,903,078,222,153,121,792
5. Step 5: Solve for x
   x = 4,643,903,078,222,153,121,792/31,836,928,564
6. Step 6: Final answer
   x = 145,865,298,183.11