Finding the Third Proportional to 2,666 and 4,150

Step by Step Solution

1. Step 1: Write the proportion equation
   2,666 : 4,150 = 4,150 : x
2. Step 2: Convert to fraction form
   2,666/4,150 = 4,150/x
3. Step 3: Cross multiply
   2,666x = 4,150 × 4,150
4. Step 4: Simplify right side
   2,666x = 17,222,500
5. Step 5: Solve for x
   x = 17,222,500/2,666
6. Step 6: Final answer
   x = 6,460.05