Finding the Third Proportional to 4,978 and 5,518

Step by Step Solution

1. Step 1: Write the proportion equation
   4,978 : 5,518 = 5,518 : x
2. Step 2: Convert to fraction form
   4,978/5,518 = 5,518/x
3. Step 3: Cross multiply
   4,978x = 5,518 × 5,518
4. Step 4: Simplify right side
   4,978x = 30,448,324
5. Step 5: Solve for x
   x = 30,448,324/4,978
6. Step 6: Final answer
   x = 6,116.58