Finding the Third Proportional to 10,648.13 and 16,120.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,648.13 : 16,120.69 = 16,120.69 : x
2. Step 2: Convert to fraction form
   10,648.13/16,120.69 = 16,120.69/x
3. Step 3: Cross multiply
   10,648.13x = 16,120.69 × 16,120.69
4. Step 4: Simplify right side
   10,648.13x = 259,876,565.47
5. Step 5: Solve for x
   x = 259,876,565.47/10,648.13
6. Step 6: Final answer
   x = 24,405.85