Finding the Third Proportional to 31,539 and 42,265.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,539 : 42,265.50 = 42,265.50 : x
2. Step 2: Convert to fraction form
   31,539/42,265.50 = 42,265.50/x
3. Step 3: Cross multiply
   31,539x = 42,265.50 × 42,265.50
4. Step 4: Simplify right side
   31,539x = 1,786,372,490.25
5. Step 5: Solve for x
   x = 1,786,372,490.25/31,539
6. Step 6: Final answer
   x = 56,640.11