Finding the Third Proportional to 657 and 1,036.50

Step by Step Solution

1. Step 1: Write the proportion equation
   657 : 1,036.50 = 1,036.50 : x
2. Step 2: Convert to fraction form
   657/1,036.50 = 1,036.50/x
3. Step 3: Cross multiply
   657x = 1,036.50 × 1,036.50
4. Step 4: Simplify right side
   657x = 1,074,332.25
5. Step 5: Solve for x
   x = 1,074,332.25/657
6. Step 6: Final answer
   x = 1,635.21