Finding the Third Proportional to 425.50 and 682.69

Step by Step Solution

1. Step 1: Write the proportion equation
   425.50 : 682.69 = 682.69 : x
2. Step 2: Convert to fraction form
   425.50/682.69 = 682.69/x
3. Step 3: Cross multiply
   425.50x = 682.69 × 682.69
4. Step 4: Simplify right side
   425.50x = 466,062.22
5. Step 5: Solve for x
   x = 466,062.22/425.50
6. Step 6: Final answer
   x = 1,095.33