Finding the Third Proportional to 7,807.50 and 13,882.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,807.50 : 13,882.50 = 13,882.50 : x
2. Step 2: Convert to fraction form
   7,807.50/13,882.50 = 13,882.50/x
3. Step 3: Cross multiply
   7,807.50x = 13,882.50 × 13,882.50
4. Step 4: Simplify right side
   7,807.50x = 192,723,806.25
5. Step 5: Solve for x
   x = 192,723,806.25/7,807.50
6. Step 6: Final answer
   x = 24,684.45