Finding the Third Proportional to 12,288 and 17,508

Step by Step Solution

1. Step 1: Write the proportion equation
   12,288 : 17,508 = 17,508 : x
2. Step 2: Convert to fraction form
   12,288/17,508 = 17,508/x
3. Step 3: Cross multiply
   12,288x = 17,508 × 17,508
4. Step 4: Simplify right side
   12,288x = 306,530,064
5. Step 5: Solve for x
   x = 306,530,064/12,288
6. Step 6: Final answer
   x = 24,945.48