Finding the Third Proportional to 12,288 and 12,672

Step by Step Solution

1. Step 1: Write the proportion equation
   12,288 : 12,672 = 12,672 : x
2. Step 2: Convert to fraction form
   12,288/12,672 = 12,672/x
3. Step 3: Cross multiply
   12,288x = 12,672 × 12,672
4. Step 4: Simplify right side
   12,288x = 160,579,584
5. Step 5: Solve for x
   x = 160,579,584/12,288
6. Step 6: Final answer
   x = 13,068