Finding the Third Proportional to 32,824.50 and 71,589.75

Step by Step Solution

1. Step 1: Write the proportion equation
   32,824.50 : 71,589.75 = 71,589.75 : x
2. Step 2: Convert to fraction form
   32,824.50/71,589.75 = 71,589.75/x
3. Step 3: Cross multiply
   32,824.50x = 71,589.75 × 71,589.75
4. Step 4: Simplify right side
   32,824.50x = 5,125,092,305.06
5. Step 5: Solve for x
   x = 5,125,092,305.06/32,824.50
6. Step 6: Final answer
   x = 156,136.19