Finding the Third Proportional to 9,536 and 12,096

Step by Step Solution

1. Step 1: Write the proportion equation
   9,536 : 12,096 = 12,096 : x
2. Step 2: Convert to fraction form
   9,536/12,096 = 12,096/x
3. Step 3: Cross multiply
   9,536x = 12,096 × 12,096
4. Step 4: Simplify right side
   9,536x = 146,313,216
5. Step 5: Solve for x
   x = 146,313,216/9,536
6. Step 6: Final answer
   x = 15,343.25