Finding the Third Proportional to 465.75 and 1,016.30

Step by Step Solution

1. Step 1: Write the proportion equation
   465.75 : 1,016.30 = 1,016.30 : x
2. Step 2: Convert to fraction form
   465.75/1,016.30 = 1,016.30/x
3. Step 3: Cross multiply
   465.75x = 1,016.30 × 1,016.30
4. Step 4: Simplify right side
   465.75x = 1,032,859.34
5. Step 5: Solve for x
   x = 1,032,859.34/465.75
6. Step 6: Final answer
   x = 2,217.63