Finding the Third Proportional to 2,566 and 3,922

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566 : 3,922 = 3,922 : x
2. Step 2: Convert to fraction form
   2,566/3,922 = 3,922/x
3. Step 3: Cross multiply
   2,566x = 3,922 × 3,922
4. Step 4: Simplify right side
   2,566x = 15,382,084
5. Step 5: Solve for x
   x = 15,382,084/2,566
6. Step 6: Final answer
   x = 5,994.58