Finding the Third Proportional to 2,850 and 5,766

Step by Step Solution

1. Step 1: Write the proportion equation
   2,850 : 5,766 = 5,766 : x
2. Step 2: Convert to fraction form
   2,850/5,766 = 5,766/x
3. Step 3: Cross multiply
   2,850x = 5,766 × 5,766
4. Step 4: Simplify right side
   2,850x = 33,246,756
5. Step 5: Solve for x
   x = 33,246,756/2,850
6. Step 6: Final answer
   x = 11,665.53