Finding the Third Proportional to 12,096 and 18,144

Step by Step Solution

1. Step 1: Write the proportion equation
   12,096 : 18,144 = 18,144 : x
2. Step 2: Convert to fraction form
   12,096/18,144 = 18,144/x
3. Step 3: Cross multiply
   12,096x = 18,144 × 18,144
4. Step 4: Simplify right side
   12,096x = 329,204,736
5. Step 5: Solve for x
   x = 329,204,736/12,096
6. Step 6: Final answer
   x = 27,216