Finding the Third Proportional to 32,658 and 71,550

Step by Step Solution

1. Step 1: Write the proportion equation
   32,658 : 71,550 = 71,550 : x
2. Step 2: Convert to fraction form
   32,658/71,550 = 71,550/x
3. Step 3: Cross multiply
   32,658x = 71,550 × 71,550
4. Step 4: Simplify right side
   32,658x = 5,119,402,500
5. Step 5: Solve for x
   x = 5,119,402,500/32,658
6. Step 6: Final answer
   x = 156,757.99