Finding the Third Proportional to 8,016 and 17,184

Step by Step Solution

1. Step 1: Write the proportion equation
   8,016 : 17,184 = 17,184 : x
2. Step 2: Convert to fraction form
   8,016/17,184 = 17,184/x
3. Step 3: Cross multiply
   8,016x = 17,184 × 17,184
4. Step 4: Simplify right side
   8,016x = 295,289,856
5. Step 5: Solve for x
   x = 295,289,856/8,016
6. Step 6: Final answer
   x = 36,837.56