Finding the Third Proportional to 12,096 and 12,960

Step by Step Solution

1. Step 1: Write the proportion equation
   12,096 : 12,960 = 12,960 : x
2. Step 2: Convert to fraction form
   12,096/12,960 = 12,960/x
3. Step 3: Cross multiply
   12,096x = 12,960 × 12,960
4. Step 4: Simplify right side
   12,096x = 167,961,600
5. Step 5: Solve for x
   x = 167,961,600/12,096
6. Step 6: Final answer
   x = 13,885.71