Finding the Third Proportional to 5,836 and 13,744

Step by Step Solution

1. Step 1: Write the proportion equation
   5,836 : 13,744 = 13,744 : x
2. Step 2: Convert to fraction form
   5,836/13,744 = 13,744/x
3. Step 3: Cross multiply
   5,836x = 13,744 × 13,744
4. Step 4: Simplify right side
   5,836x = 188,897,536
5. Step 5: Solve for x
   x = 188,897,536/5,836
6. Step 6: Final answer
   x = 32,367.64