Finding the Third Proportional to 11,616 and 12,672

Step by Step Solution

1. Step 1: Write the proportion equation
   11,616 : 12,672 = 12,672 : x
2. Step 2: Convert to fraction form
   11,616/12,672 = 12,672/x
3. Step 3: Cross multiply
   11,616x = 12,672 × 12,672
4. Step 4: Simplify right side
   11,616x = 160,579,584
5. Step 5: Solve for x
   x = 160,579,584/11,616
6. Step 6: Final answer
   x = 13,824