Finding the Third Proportional to 659.75 and 1,003.38

Step by Step Solution

1. Step 1: Write the proportion equation
   659.75 : 1,003.38 = 1,003.38 : x
2. Step 2: Convert to fraction form
   659.75/1,003.38 = 1,003.38/x
3. Step 3: Cross multiply
   659.75x = 1,003.38 × 1,003.38
4. Step 4: Simplify right side
   659.75x = 1,006,761.39
5. Step 5: Solve for x
   x = 1,006,761.39/659.75
6. Step 6: Final answer
   x = 1,525.97