Finding the Third Proportional to 13,680 and 18,096

Step by Step Solution

1. Step 1: Write the proportion equation
   13,680 : 18,096 = 18,096 : x
2. Step 2: Convert to fraction form
   13,680/18,096 = 18,096/x
3. Step 3: Cross multiply
   13,680x = 18,096 × 18,096
4. Step 4: Simplify right side
   13,680x = 327,465,216
5. Step 5: Solve for x
   x = 327,465,216/13,680
6. Step 6: Final answer
   x = 23,937.52