Finding the Third Proportional to 2,565 and 5,922

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565 : 5,922 = 5,922 : x
2. Step 2: Convert to fraction form
   2,565/5,922 = 5,922/x
3. Step 3: Cross multiply
   2,565x = 5,922 × 5,922
4. Step 4: Simplify right side
   2,565x = 35,070,084
5. Step 5: Solve for x
   x = 35,070,084/2,565
6. Step 6: Final answer
   x = 13,672.55