Finding the Third Proportional to 2,666 and 5,269

Step by Step Solution

1. Step 1: Write the proportion equation
   2,666 : 5,269 = 5,269 : x
2. Step 2: Convert to fraction form
   2,666/5,269 = 5,269/x
3. Step 3: Cross multiply
   2,666x = 5,269 × 5,269
4. Step 4: Simplify right side
   2,666x = 27,762,361
5. Step 5: Solve for x
   x = 27,762,361/2,666
6. Step 6: Final answer
   x = 10,413.49