Finding the Third Proportional to 4,288.50 and 9,411.75

Step by Step Solution

1. Step 1: Write the proportion equation
   4,288.50 : 9,411.75 = 9,411.75 : x
2. Step 2: Convert to fraction form
   4,288.50/9,411.75 = 9,411.75/x
3. Step 3: Cross multiply
   4,288.50x = 9,411.75 × 9,411.75
4. Step 4: Simplify right side
   4,288.50x = 88,581,038.06
5. Step 5: Solve for x
   x = 88,581,038.06/4,288.50
6. Step 6: Final answer
   x = 20,655.48