Finding the Third Proportional to 12,288 and 13,632

Step by Step Solution

1. Step 1: Write the proportion equation
   12,288 : 13,632 = 13,632 : x
2. Step 2: Convert to fraction form
   12,288/13,632 = 13,632/x
3. Step 3: Cross multiply
   12,288x = 13,632 × 13,632
4. Step 4: Simplify right side
   12,288x = 185,831,424
5. Step 5: Solve for x
   x = 185,831,424/12,288
6. Step 6: Final answer
   x = 15,123