Finding the Third Proportional to 12,096 and 15,648

Step by Step Solution

1. Step 1: Write the proportion equation
   12,096 : 15,648 = 15,648 : x
2. Step 2: Convert to fraction form
   12,096/15,648 = 15,648/x
3. Step 3: Cross multiply
   12,096x = 15,648 × 15,648
4. Step 4: Simplify right side
   12,096x = 244,859,904
5. Step 5: Solve for x
   x = 244,859,904/12,096
6. Step 6: Final answer
   x = 20,243.05