Finding the Third Proportional to 12,288 and 13,920

Step by Step Solution

1. Step 1: Write the proportion equation
   12,288 : 13,920 = 13,920 : x
2. Step 2: Convert to fraction form
   12,288/13,920 = 13,920/x
3. Step 3: Cross multiply
   12,288x = 13,920 × 13,920
4. Step 4: Simplify right side
   12,288x = 193,766,400
5. Step 5: Solve for x
   x = 193,766,400/12,288
6. Step 6: Final answer
   x = 15,768.75