Finding the Third Proportional to 3,166 and 3,166

Step by Step Solution

1. Step 1: Write the proportion equation
   3,166 : 3,166 = 3,166 : x
2. Step 2: Convert to fraction form
   3,166/3,166 = 3,166/x
3. Step 3: Cross multiply
   3,166x = 3,166 × 3,166
4. Step 4: Simplify right side
   3,166x = 10,023,556
5. Step 5: Solve for x
   x = 10,023,556/3,166
6. Step 6: Final answer
   x = 3,166