Finding the Third Proportional to 10,396.31 and 15,978.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,396.31 : 15,978.75 = 15,978.75 : x
2. Step 2: Convert to fraction form
   10,396.31/15,978.75 = 15,978.75/x
3. Step 3: Cross multiply
   10,396.31x = 15,978.75 × 15,978.75
4. Step 4: Simplify right side
   10,396.31x = 255,320,451.56
5. Step 5: Solve for x
   x = 255,320,451.56/10,396.31
6. Step 6: Final answer
   x = 24,558.75