Finding the Third Proportional to 8,383.50 and 16,167.09

Step by Step Solution

1. Step 1: Write the proportion equation
   8,383.50 : 16,167.09 = 16,167.09 : x
2. Step 2: Convert to fraction form
   8,383.50/16,167.09 = 16,167.09/x
3. Step 3: Cross multiply
   8,383.50x = 16,167.09 × 16,167.09
4. Step 4: Simplify right side
   8,383.50x = 261,374,920.32
5. Step 5: Solve for x
   x = 261,374,920.32/8,383.50
6. Step 6: Final answer
   x = 31,177.30