Finding the Third Proportional to 682.50 and 925.50

Step by Step Solution

1. Step 1: Write the proportion equation
   682.50 : 925.50 = 925.50 : x
2. Step 2: Convert to fraction form
   682.50/925.50 = 925.50/x
3. Step 3: Cross multiply
   682.50x = 925.50 × 925.50
4. Step 4: Simplify right side
   682.50x = 856,550.25
5. Step 5: Solve for x
   x = 856,550.25/682.50
6. Step 6: Final answer
   x = 1,255.02