Finding the Third Proportional to 2,109 and 5,166

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109 : 5,166 = 5,166 : x
2. Step 2: Convert to fraction form
   2,109/5,166 = 5,166/x
3. Step 3: Cross multiply
   2,109x = 5,166 × 5,166
4. Step 4: Simplify right side
   2,109x = 26,687,556
5. Step 5: Solve for x
   x = 26,687,556/2,109
6. Step 6: Final answer
   x = 12,654.13