Finding the Third Proportional to 10,978.31 and 24,143.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978.31 : 24,143.63 = 24,143.63 : x
2. Step 2: Convert to fraction form
   10,978.31/24,143.63 = 24,143.63/x
3. Step 3: Cross multiply
   10,978.31x = 24,143.63 × 24,143.63
4. Step 4: Simplify right side
   10,978.31x = 582,914,628.14
5. Step 5: Solve for x
   x = 582,914,628.14/10,978.31
6. Step 6: Final answer
   x = 53,096.92