Finding the Third Proportional to 3,766 and 5,856

Step by Step Solution

1. Step 1: Write the proportion equation
   3,766 : 5,856 = 5,856 : x
2. Step 2: Convert to fraction form
   3,766/5,856 = 5,856/x
3. Step 3: Cross multiply
   3,766x = 5,856 × 5,856
4. Step 4: Simplify right side
   3,766x = 34,292,736
5. Step 5: Solve for x
   x = 34,292,736/3,766
6. Step 6: Final answer
   x = 9,105.88