Finding the Third Proportional to 566.72 and 658.69

Step by Step Solution

1. Step 1: Write the proportion equation
   566.72 : 658.69 = 658.69 : x
2. Step 2: Convert to fraction form
   566.72/658.69 = 658.69/x
3. Step 3: Cross multiply
   566.72x = 658.69 × 658.69
4. Step 4: Simplify right side
   566.72x = 433,869.22
5. Step 5: Solve for x
   x = 433,869.22/566.72
6. Step 6: Final answer
   x = 765.58