Finding the Third Proportional to 10,978 and 24,048

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978 : 24,048 = 24,048 : x
2. Step 2: Convert to fraction form
   10,978/24,048 = 24,048/x
3. Step 3: Cross multiply
   10,978x = 24,048 × 24,048
4. Step 4: Simplify right side
   10,978x = 578,306,304
5. Step 5: Solve for x
   x = 578,306,304/10,978
6. Step 6: Final answer
   x = 52,678.66