Finding the Third Proportional to 5,744 and 13,624

Step by Step Solution

1. Step 1: Write the proportion equation
   5,744 : 13,624 = 13,624 : x
2. Step 2: Convert to fraction form
   5,744/13,624 = 13,624/x
3. Step 3: Cross multiply
   5,744x = 13,624 × 13,624
4. Step 4: Simplify right side
   5,744x = 185,613,376
5. Step 5: Solve for x
   x = 185,613,376/5,744
6. Step 6: Final answer
   x = 32,314.31