Finding the Third Proportional to 10,944 and 16,744

Step by Step Solution

1. Step 1: Write the proportion equation
   10,944 : 16,744 = 16,744 : x
2. Step 2: Convert to fraction form
   10,944/16,744 = 16,744/x
3. Step 3: Cross multiply
   10,944x = 16,744 × 16,744
4. Step 4: Simplify right side
   10,944x = 280,361,536
5. Step 5: Solve for x
   x = 280,361,536/10,944
6. Step 6: Final answer
   x = 25,617.83