Finding the Third Proportional to 687.75 and 1,016.38

Step by Step Solution

1. Step 1: Write the proportion equation
   687.75 : 1,016.38 = 1,016.38 : x
2. Step 2: Convert to fraction form
   687.75/1,016.38 = 1,016.38/x
3. Step 3: Cross multiply
   687.75x = 1,016.38 × 1,016.38
4. Step 4: Simplify right side
   687.75x = 1,033,018.14
5. Step 5: Solve for x
   x = 1,033,018.14/687.75
6. Step 6: Final answer
   x = 1,502.03