Finding the Third Proportional to 2,666 and 5,413

Step by Step Solution

1. Step 1: Write the proportion equation
   2,666 : 5,413 = 5,413 : x
2. Step 2: Convert to fraction form
   2,666/5,413 = 5,413/x
3. Step 3: Cross multiply
   2,666x = 5,413 × 5,413
4. Step 4: Simplify right side
   2,666x = 29,300,569
5. Step 5: Solve for x
   x = 29,300,569/2,666
6. Step 6: Final answer
   x = 10,990.46