Finding the Third Proportional to 5,704 and 13,540

Step by Step Solution

1. Step 1: Write the proportion equation
   5,704 : 13,540 = 13,540 : x
2. Step 2: Convert to fraction form
   5,704/13,540 = 13,540/x
3. Step 3: Cross multiply
   5,704x = 13,540 × 13,540
4. Step 4: Simplify right side
   5,704x = 183,331,600
5. Step 5: Solve for x
   x = 183,331,600/5,704
6. Step 6: Final answer
   x = 32,140.88