Finding the Third Proportional to 658 and 1,499.75

Step by Step Solution

1. Step 1: Write the proportion equation
   658 : 1,499.75 = 1,499.75 : x
2. Step 2: Convert to fraction form
   658/1,499.75 = 1,499.75/x
3. Step 3: Cross multiply
   658x = 1,499.75 × 1,499.75
4. Step 4: Simplify right side
   658x = 2,249,250.06
5. Step 5: Solve for x
   x = 2,249,250.06/658
6. Step 6: Final answer
   x = 3,418.31