Finding the Third Proportional to 721.59 and 966.56

Step by Step Solution

1. Step 1: Write the proportion equation
   721.59 : 966.56 = 966.56 : x
2. Step 2: Convert to fraction form
   721.59/966.56 = 966.56/x
3. Step 3: Cross multiply
   721.59x = 966.56 × 966.56
4. Step 4: Simplify right side
   721.59x = 934,243.07
5. Step 5: Solve for x
   x = 934,243.07/721.59
6. Step 6: Final answer
   x = 1,294.69