Finding the Third Proportional to 8,684 and 17,983

Step by Step Solution

1. Step 1: Write the proportion equation
   8,684 : 17,983 = 17,983 : x
2. Step 2: Convert to fraction form
   8,684/17,983 = 17,983/x
3. Step 3: Cross multiply
   8,684x = 17,983 × 17,983
4. Step 4: Simplify right side
   8,684x = 323,388,289
5. Step 5: Solve for x
   x = 323,388,289/8,684
6. Step 6: Final answer
   x = 37,239.55