Finding the Third Proportional to 11,280 and 24,096

Step by Step Solution

1. Step 1: Write the proportion equation
   11,280 : 24,096 = 24,096 : x
2. Step 2: Convert to fraction form
   11,280/24,096 = 24,096/x
3. Step 3: Cross multiply
   11,280x = 24,096 × 24,096
4. Step 4: Simplify right side
   11,280x = 580,617,216
5. Step 5: Solve for x
   x = 580,617,216/11,280
6. Step 6: Final answer
   x = 51,473.16