Finding the Third Proportional to 10,381.78 and 16,105.92

Step by Step Solution

1. Step 1: Write the proportion equation
   10,381.78 : 16,105.92 = 16,105.92 : x
2. Step 2: Convert to fraction form
   10,381.78/16,105.92 = 16,105.92/x
3. Step 3: Cross multiply
   10,381.78x = 16,105.92 × 16,105.92
4. Step 4: Simplify right side
   10,381.78x = 259,400,719.44
5. Step 5: Solve for x
   x = 259,400,719.44/10,381.78
6. Step 6: Final answer
   x = 24,986.15