Finding the Third Proportional to 4,711.50 and 11,002.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,711.50 : 11,002.50 = 11,002.50 : x
2. Step 2: Convert to fraction form
   4,711.50/11,002.50 = 11,002.50/x
3. Step 3: Cross multiply
   4,711.50x = 11,002.50 × 11,002.50
4. Step 4: Simplify right side
   4,711.50x = 121,055,006.25
5. Step 5: Solve for x
   x = 121,055,006.25/4,711.50
6. Step 6: Final answer
   x = 25,693.52