Finding the Third Proportional to 4,474 and 4,978

Step by Step Solution

1. Step 1: Write the proportion equation
   4,474 : 4,978 = 4,978 : x
2. Step 2: Convert to fraction form
   4,474/4,978 = 4,978/x
3. Step 3: Cross multiply
   4,474x = 4,978 × 4,978
4. Step 4: Simplify right side
   4,474x = 24,780,484
5. Step 5: Solve for x
   x = 24,780,484/4,474
6. Step 6: Final answer
   x = 5,538.78