Finding the Third Proportional to 8,866 and 10,162

Step by Step Solution

1. Step 1: Write the proportion equation
   8,866 : 10,162 = 10,162 : x
2. Step 2: Convert to fraction form
   8,866/10,162 = 10,162/x
3. Step 3: Cross multiply
   8,866x = 10,162 × 10,162
4. Step 4: Simplify right side
   8,866x = 103,266,244
5. Step 5: Solve for x
   x = 103,266,244/8,866
6. Step 6: Final answer
   x = 11,647.44