Finding the Third Proportional to 8,978 and 10,166

Step by Step Solution

1. Step 1: Write the proportion equation
   8,978 : 10,166 = 10,166 : x
2. Step 2: Convert to fraction form
   8,978/10,166 = 10,166/x
3. Step 3: Cross multiply
   8,978x = 10,166 × 10,166
4. Step 4: Simplify right side
   8,978x = 103,347,556
5. Step 5: Solve for x
   x = 103,347,556/8,978
6. Step 6: Final answer
   x = 11,511.20