Finding the Third Proportional to 2,186 and 3,266

Step by Step Solution

1. Step 1: Write the proportion equation
   2,186 : 3,266 = 3,266 : x
2. Step 2: Convert to fraction form
   2,186/3,266 = 3,266/x
3. Step 3: Cross multiply
   2,186x = 3,266 × 3,266
4. Step 4: Simplify right side
   2,186x = 10,666,756
5. Step 5: Solve for x
   x = 10,666,756/2,186
6. Step 6: Final answer
   x = 4,879.58