Finding the Third Proportional to 8,116 and 16,849

Step by Step Solution

1. Step 1: Write the proportion equation
   8,116 : 16,849 = 16,849 : x
2. Step 2: Convert to fraction form
   8,116/16,849 = 16,849/x
3. Step 3: Cross multiply
   8,116x = 16,849 × 16,849
4. Step 4: Simplify right side
   8,116x = 283,888,801
5. Step 5: Solve for x
   x = 283,888,801/8,116
6. Step 6: Final answer
   x = 34,978.91