Finding the Third Proportional to 8,184 and 17,661

Step by Step Solution

1. Step 1: Write the proportion equation
   8,184 : 17,661 = 17,661 : x
2. Step 2: Convert to fraction form
   8,184/17,661 = 17,661/x
3. Step 3: Cross multiply
   8,184x = 17,661 × 17,661
4. Step 4: Simplify right side
   8,184x = 311,910,921
5. Step 5: Solve for x
   x = 311,910,921/8,184
6. Step 6: Final answer
   x = 38,112.28