Finding the Third Proportional to 4,057.50 and 4,417.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,057.50 : 4,417.50 = 4,417.50 : x
2. Step 2: Convert to fraction form
   4,057.50/4,417.50 = 4,417.50/x
3. Step 3: Cross multiply
   4,057.50x = 4,417.50 × 4,417.50
4. Step 4: Simplify right side
   4,057.50x = 19,514,306.25
5. Step 5: Solve for x
   x = 19,514,306.25/4,057.50
6. Step 6: Final answer
   x = 4,809.44