Finding the Third Proportional to 7,568 and 12,096

Step by Step Solution

1. Step 1: Write the proportion equation
   7,568 : 12,096 = 12,096 : x
2. Step 2: Convert to fraction form
   7,568/12,096 = 12,096/x
3. Step 3: Cross multiply
   7,568x = 12,096 × 12,096
4. Step 4: Simplify right side
   7,568x = 146,313,216
5. Step 5: Solve for x
   x = 146,313,216/7,568
6. Step 6: Final answer
   x = 19,333.14