Finding the Third Proportional to 8,084 and 10,866

Step by Step Solution

1. Step 1: Write the proportion equation
   8,084 : 10,866 = 10,866 : x
2. Step 2: Convert to fraction form
   8,084/10,866 = 10,866/x
3. Step 3: Cross multiply
   8,084x = 10,866 × 10,866
4. Step 4: Simplify right side
   8,084x = 118,069,956
5. Step 5: Solve for x
   x = 118,069,956/8,084
6. Step 6: Final answer
   x = 14,605.39