Finding the Third Proportional to 6,456 and 12,096

Step by Step Solution

1. Step 1: Write the proportion equation
   6,456 : 12,096 = 12,096 : x
2. Step 2: Convert to fraction form
   6,456/12,096 = 12,096/x
3. Step 3: Cross multiply
   6,456x = 12,096 × 12,096
4. Step 4: Simplify right side
   6,456x = 146,313,216
5. Step 5: Solve for x
   x = 146,313,216/6,456
6. Step 6: Final answer
   x = 22,663.14