Finding the Third Proportional to 5,856 and 12,766

Step by Step Solution

1. Step 1: Write the proportion equation
   5,856 : 12,766 = 12,766 : x
2. Step 2: Convert to fraction form
   5,856/12,766 = 12,766/x
3. Step 3: Cross multiply
   5,856x = 12,766 × 12,766
4. Step 4: Simplify right side
   5,856x = 162,970,756
5. Step 5: Solve for x
   x = 162,970,756/5,856
6. Step 6: Final answer
   x = 27,829.71