Finding the Third Proportional to 661.92 and 724.57

Step by Step Solution

1. Step 1: Write the proportion equation
   661.92 : 724.57 = 724.57 : x
2. Step 2: Convert to fraction form
   661.92/724.57 = 724.57/x
3. Step 3: Cross multiply
   661.92x = 724.57 × 724.57
4. Step 4: Simplify right side
   661.92x = 525,002.14
5. Step 5: Solve for x
   x = 525,002.14/661.92
6. Step 6: Final answer
   x = 793.15