Finding the Third Proportional to 31,711.50 and 71,502.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,711.50 : 71,502.75 = 71,502.75 : x
2. Step 2: Convert to fraction form
   31,711.50/71,502.75 = 71,502.75/x
3. Step 3: Cross multiply
   31,711.50x = 71,502.75 × 71,502.75
4. Step 4: Simplify right side
   31,711.50x = 5,112,643,257.56
5. Step 5: Solve for x
   x = 5,112,643,257.56/31,711.50
6. Step 6: Final answer
   x = 161,223.63