Finding the Third Proportional to 9,410 and 10,166

Step by Step Solution

1. Step 1: Write the proportion equation
   9,410 : 10,166 = 10,166 : x
2. Step 2: Convert to fraction form
   9,410/10,166 = 10,166/x
3. Step 3: Cross multiply
   9,410x = 10,166 × 10,166
4. Step 4: Simplify right side
   9,410x = 103,347,556
5. Step 5: Solve for x
   x = 103,347,556/9,410
6. Step 6: Final answer
   x = 10,982.74