Finding the Third Proportional to 6,744 and 16,156

Step by Step Solution

1. Step 1: Write the proportion equation
   6,744 : 16,156 = 16,156 : x
2. Step 2: Convert to fraction form
   6,744/16,156 = 16,156/x
3. Step 3: Cross multiply
   6,744x = 16,156 × 16,156
4. Step 4: Simplify right side
   6,744x = 261,016,336
5. Step 5: Solve for x
   x = 261,016,336/6,744
6. Step 6: Final answer
   x = 38,703.49