Finding the Third Proportional to 506.25 and 1,057.50

Step by Step Solution

1. Step 1: Write the proportion equation
   506.25 : 1,057.50 = 1,057.50 : x
2. Step 2: Convert to fraction form
   506.25/1,057.50 = 1,057.50/x
3. Step 3: Cross multiply
   506.25x = 1,057.50 × 1,057.50
4. Step 4: Simplify right side
   506.25x = 1,118,306.25
5. Step 5: Solve for x
   x = 1,118,306.25/506.25
6. Step 6: Final answer
   x = 2,209