Finding the Third Proportional to 8,205.47 and 17,983.69

Step by Step Solution

1. Step 1: Write the proportion equation
   8,205.47 : 17,983.69 = 17,983.69 : x
2. Step 2: Convert to fraction form
   8,205.47/17,983.69 = 17,983.69/x
3. Step 3: Cross multiply
   8,205.47x = 17,983.69 × 17,983.69
4. Step 4: Simplify right side
   8,205.47x = 323,413,016.10
5. Step 5: Solve for x
   x = 323,413,016.10/8,205.47
6. Step 6: Final answer
   x = 39,414.33