Finding the Third Proportional to 12,288 and 19,200

Step by Step Solution

1. Step 1: Write the proportion equation
   12,288 : 19,200 = 19,200 : x
2. Step 2: Convert to fraction form
   12,288/19,200 = 19,200/x
3. Step 3: Cross multiply
   12,288x = 19,200 × 19,200
4. Step 4: Simplify right side
   12,288x = 368,640,000
5. Step 5: Solve for x
   x = 368,640,000/12,288
6. Step 6: Final answer
   x = 30,000