Finding the Third Proportional to 2,840 and 5,762

Step by Step Solution

1. Step 1: Write the proportion equation
   2,840 : 5,762 = 5,762 : x
2. Step 2: Convert to fraction form
   2,840/5,762 = 5,762/x
3. Step 3: Cross multiply
   2,840x = 5,762 × 5,762
4. Step 4: Simplify right side
   2,840x = 33,200,644
5. Step 5: Solve for x
   x = 33,200,644/2,840
6. Step 6: Final answer
   x = 11,690.37