Finding the Third Proportional to 10,978.88 and 24,144.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978.88 : 24,144.75 = 24,144.75 : x
2. Step 2: Convert to fraction form
   10,978.88/24,144.75 = 24,144.75/x
3. Step 3: Cross multiply
   10,978.88x = 24,144.75 × 24,144.75
4. Step 4: Simplify right side
   10,978.88x = 582,968,952.56
5. Step 5: Solve for x
   x = 582,968,952.56/10,978.88
6. Step 6: Final answer
   x = 53,099.15