Finding the Third Proportional to 5,128 and 5,542

Step by Step Solution

1. Step 1: Write the proportion equation
   5,128 : 5,542 = 5,542 : x
2. Step 2: Convert to fraction form
   5,128/5,542 = 5,542/x
3. Step 3: Cross multiply
   5,128x = 5,542 × 5,542
4. Step 4: Simplify right side
   5,128x = 30,713,764
5. Step 5: Solve for x
   x = 30,713,764/5,128
6. Step 6: Final answer
   x = 5,989.42