Finding the Third Proportional to 8,204 and 16,892

Step by Step Solution

1. Step 1: Write the proportion equation
   8,204 : 16,892 = 16,892 : x
2. Step 2: Convert to fraction form
   8,204/16,892 = 16,892/x
3. Step 3: Cross multiply
   8,204x = 16,892 × 16,892
4. Step 4: Simplify right side
   8,204x = 285,339,664
5. Step 5: Solve for x
   x = 285,339,664/8,204
6. Step 6: Final answer
   x = 34,780.55