Finding the Third Proportional to 661.92 and 744.61

Step by Step Solution

1. Step 1: Write the proportion equation
   661.92 : 744.61 = 744.61 : x
2. Step 2: Convert to fraction form
   661.92/744.61 = 744.61/x
3. Step 3: Cross multiply
   661.92x = 744.61 × 744.61
4. Step 4: Simplify right side
   661.92x = 554,443.12
5. Step 5: Solve for x
   x = 554,443.12/661.92
6. Step 6: Final answer
   x = 837.63