Finding the Third Proportional to 425.25 and 659.25

Step by Step Solution

1. Step 1: Write the proportion equation
   425.25 : 659.25 = 659.25 : x
2. Step 2: Convert to fraction form
   425.25/659.25 = 659.25/x
3. Step 3: Cross multiply
   425.25x = 659.25 × 659.25
4. Step 4: Simplify right side
   425.25x = 434,610.56
5. Step 5: Solve for x
   x = 434,610.56/425.25
6. Step 6: Final answer
   x = 1,022.01