Finding the Third Proportional to 662.25 and 1,016.75

Step by Step Solution

1. Step 1: Write the proportion equation
   662.25 : 1,016.75 = 1,016.75 : x
2. Step 2: Convert to fraction form
   662.25/1,016.75 = 1,016.75/x
3. Step 3: Cross multiply
   662.25x = 1,016.75 × 1,016.75
4. Step 4: Simplify right side
   662.25x = 1,033,780.56
5. Step 5: Solve for x
   x = 1,033,780.56/662.25
6. Step 6: Final answer
   x = 1,561.01