Finding the Third Proportional to 4,128 and 5,502

Step by Step Solution

1. Step 1: Write the proportion equation
   4,128 : 5,502 = 5,502 : x
2. Step 2: Convert to fraction form
   4,128/5,502 = 5,502/x
3. Step 3: Cross multiply
   4,128x = 5,502 × 5,502
4. Step 4: Simplify right side
   4,128x = 30,272,004
5. Step 5: Solve for x
   x = 30,272,004/4,128
6. Step 6: Final answer
   x = 7,333.33