Finding the Third Proportional to 12,096 and 13,392

Step by Step Solution

1. Step 1: Write the proportion equation
   12,096 : 13,392 = 13,392 : x
2. Step 2: Convert to fraction form
   12,096/13,392 = 13,392/x
3. Step 3: Cross multiply
   12,096x = 13,392 × 13,392
4. Step 4: Simplify right side
   12,096x = 179,345,664
5. Step 5: Solve for x
   x = 179,345,664/12,096
6. Step 6: Final answer
   x = 14,826.86