Finding the Third Proportional to 5,138 and 5,554

Step by Step Solution

1. Step 1: Write the proportion equation
   5,138 : 5,554 = 5,554 : x
2. Step 2: Convert to fraction form
   5,138/5,554 = 5,554/x
3. Step 3: Cross multiply
   5,138x = 5,554 × 5,554
4. Step 4: Simplify right side
   5,138x = 30,846,916
5. Step 5: Solve for x
   x = 30,846,916/5,138
6. Step 6: Final answer
   x = 6,003.68