Finding the Third Proportional to 32,582.75 and 71,402.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,582.75 : 71,402.50 = 71,402.50 : x
2. Step 2: Convert to fraction form
   32,582.75/71,402.50 = 71,402.50/x
3. Step 3: Cross multiply
   32,582.75x = 71,402.50 × 71,402.50
4. Step 4: Simplify right side
   32,582.75x = 5,098,317,006.25
5. Step 5: Solve for x
   x = 5,098,317,006.25/32,582.75
6. Step 6: Final answer
   x = 156,472.89