Finding the Third Proportional to 8,834 and 12,116

Step by Step Solution

1. Step 1: Write the proportion equation
   8,834 : 12,116 = 12,116 : x
2. Step 2: Convert to fraction form
   8,834/12,116 = 12,116/x
3. Step 3: Cross multiply
   8,834x = 12,116 × 12,116
4. Step 4: Simplify right side
   8,834x = 146,797,456
5. Step 5: Solve for x
   x = 146,797,456/8,834
6. Step 6: Final answer
   x = 16,617.33