Finding the Third Proportional to 10,978 and 24,142

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978 : 24,142 = 24,142 : x
2. Step 2: Convert to fraction form
   10,978/24,142 = 24,142/x
3. Step 3: Cross multiply
   10,978x = 24,142 × 24,142
4. Step 4: Simplify right side
   10,978x = 582,836,164
5. Step 5: Solve for x
   x = 582,836,164/10,978
6. Step 6: Final answer
   x = 53,091.29