Finding the Third Proportional to 10,742 and 16,179

Step by Step Solution

1. Step 1: Write the proportion equation
   10,742 : 16,179 = 16,179 : x
2. Step 2: Convert to fraction form
   10,742/16,179 = 16,179/x
3. Step 3: Cross multiply
   10,742x = 16,179 × 16,179
4. Step 4: Simplify right side
   10,742x = 261,760,041
5. Step 5: Solve for x
   x = 261,760,041/10,742
6. Step 6: Final answer
   x = 24,367.91