Finding the Third Proportional to 31,762 and 62,720.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,762 : 62,720.50 = 62,720.50 : x
2. Step 2: Convert to fraction form
   31,762/62,720.50 = 62,720.50/x
3. Step 3: Cross multiply
   31,762x = 62,720.50 × 62,720.50
4. Step 4: Simplify right side
   31,762x = 3,933,861,120.25
5. Step 5: Solve for x
   x = 3,933,861,120.25/31,762
6. Step 6: Final answer
   x = 123,854.33