Finding the Third Proportional to 2,666 and 5,197

Step by Step Solution

1. Step 1: Write the proportion equation
   2,666 : 5,197 = 5,197 : x
2. Step 2: Convert to fraction form
   2,666/5,197 = 5,197/x
3. Step 3: Cross multiply
   2,666x = 5,197 × 5,197
4. Step 4: Simplify right side
   2,666x = 27,008,809
5. Step 5: Solve for x
   x = 27,008,809/2,666
6. Step 6: Final answer
   x = 10,130.84