Finding the Third Proportional to 12,288 and 17,184

Step by Step Solution

1. Step 1: Write the proportion equation
   12,288 : 17,184 = 17,184 : x
2. Step 2: Convert to fraction form
   12,288/17,184 = 17,184/x
3. Step 3: Cross multiply
   12,288x = 17,184 × 17,184
4. Step 4: Simplify right side
   12,288x = 295,289,856
5. Step 5: Solve for x
   x = 295,289,856/12,288
6. Step 6: Final answer
   x = 24,030.75