Finding the Third Proportional to 32,669.50 and 71,566

Step by Step Solution

1. Step 1: Write the proportion equation
   32,669.50 : 71,566 = 71,566 : x
2. Step 2: Convert to fraction form
   32,669.50/71,566 = 71,566/x
3. Step 3: Cross multiply
   32,669.50x = 71,566 × 71,566
4. Step 4: Simplify right side
   32,669.50x = 5,121,692,356
5. Step 5: Solve for x
   x = 5,121,692,356/32,669.50
6. Step 6: Final answer
   x = 156,772.90