Finding the Third Proportional to 10,405.97 and 16,141.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,405.97 : 16,141.78 = 16,141.78 : x
2. Step 2: Convert to fraction form
   10,405.97/16,141.78 = 16,141.78/x
3. Step 3: Cross multiply
   10,405.97x = 16,141.78 × 16,141.78
4. Step 4: Simplify right side
   10,405.97x = 260,557,101.92
5. Step 5: Solve for x
   x = 260,557,101.92/10,405.97
6. Step 6: Final answer
   x = 25,039.20