Finding the Third Proportional to 3,862.50 and 5,517.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,862.50 : 5,517.75 = 5,517.75 : x
2. Step 2: Convert to fraction form
   3,862.50/5,517.75 = 5,517.75/x
3. Step 3: Cross multiply
   3,862.50x = 5,517.75 × 5,517.75
4. Step 4: Simplify right side
   3,862.50x = 30,445,565.06
5. Step 5: Solve for x
   x = 30,445,565.06/3,862.50
6. Step 6: Final answer
   x = 7,882.35