Finding the Third Proportional to 2,024 and 4,978

Step by Step Solution

1. Step 1: Write the proportion equation
   2,024 : 4,978 = 4,978 : x
2. Step 2: Convert to fraction form
   2,024/4,978 = 4,978/x
3. Step 3: Cross multiply
   2,024x = 4,978 × 4,978
4. Step 4: Simplify right side
   2,024x = 24,780,484
5. Step 5: Solve for x
   x = 24,780,484/2,024
6. Step 6: Final answer
   x = 12,243.32