Finding the Third Proportional to 12,864 and 20,096

Step by Step Solution

1. Step 1: Write the proportion equation
   12,864 : 20,096 = 20,096 : x
2. Step 2: Convert to fraction form
   12,864/20,096 = 20,096/x
3. Step 3: Cross multiply
   12,864x = 20,096 × 20,096
4. Step 4: Simplify right side
   12,864x = 403,849,216
5. Step 5: Solve for x
   x = 403,849,216/12,864
6. Step 6: Final answer
   x = 31,393.75