Finding the Third Proportional to 10,540 and 15,879.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,540 : 15,879.50 = 15,879.50 : x
2. Step 2: Convert to fraction form
   10,540/15,879.50 = 15,879.50/x
3. Step 3: Cross multiply
   10,540x = 15,879.50 × 15,879.50
4. Step 4: Simplify right side
   10,540x = 252,158,520.25
5. Step 5: Solve for x
   x = 252,158,520.25/10,540
6. Step 6: Final answer
   x = 23,923.96