Finding the Third Proportional to 12,096 and 25,920

Step by Step Solution

1. Step 1: Write the proportion equation
   12,096 : 25,920 = 25,920 : x
2. Step 2: Convert to fraction form
   12,096/25,920 = 25,920/x
3. Step 3: Cross multiply
   12,096x = 25,920 × 25,920
4. Step 4: Simplify right side
   12,096x = 671,846,400
5. Step 5: Solve for x
   x = 671,846,400/12,096
6. Step 6: Final answer
   x = 55,542.86