Finding the Third Proportional to 658.69 and 1,027.50

Step by Step Solution

1. Step 1: Write the proportion equation
   658.69 : 1,027.50 = 1,027.50 : x
2. Step 2: Convert to fraction form
   658.69/1,027.50 = 1,027.50/x
3. Step 3: Cross multiply
   658.69x = 1,027.50 × 1,027.50
4. Step 4: Simplify right side
   658.69x = 1,055,756.25
5. Step 5: Solve for x
   x = 1,055,756.25/658.69
6. Step 6: Final answer
   x = 1,602.82