Finding the Third Proportional to 31,777 and 62,755

Step by Step Solution

1. Step 1: Write the proportion equation
   31,777 : 62,755 = 62,755 : x
2. Step 2: Convert to fraction form
   31,777/62,755 = 62,755/x
3. Step 3: Cross multiply
   31,777x = 62,755 × 62,755
4. Step 4: Simplify right side
   31,777x = 3,938,190,025
5. Step 5: Solve for x
   x = 3,938,190,025/31,777
6. Step 6: Final answer
   x = 123,932.09