Finding the Third Proportional to 12,096 and 25,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,096 : 25,978.50 = 25,978.50 : x
2. Step 2: Convert to fraction form
   12,096/25,978.50 = 25,978.50/x
3. Step 3: Cross multiply
   12,096x = 25,978.50 × 25,978.50
4. Step 4: Simplify right side
   12,096x = 674,882,462.25
5. Step 5: Solve for x
   x = 674,882,462.25/12,096
6. Step 6: Final answer
   x = 55,793.85