Finding the Third Proportional to 6,400 and 12,288

Step by Step Solution

1. Step 1: Write the proportion equation
   6,400 : 12,288 = 12,288 : x
2. Step 2: Convert to fraction form
   6,400/12,288 = 12,288/x
3. Step 3: Cross multiply
   6,400x = 12,288 × 12,288
4. Step 4: Simplify right side
   6,400x = 150,994,944
5. Step 5: Solve for x
   x = 150,994,944/6,400
6. Step 6: Final answer
   x = 23,592.96