Finding the Third Proportional to 2,462 and 3,766

Step by Step Solution

1. Step 1: Write the proportion equation
   2,462 : 3,766 = 3,766 : x
2. Step 2: Convert to fraction form
   2,462/3,766 = 3,766/x
3. Step 3: Cross multiply
   2,462x = 3,766 × 3,766
4. Step 4: Simplify right side
   2,462x = 14,182,756
5. Step 5: Solve for x
   x = 14,182,756/2,462
6. Step 6: Final answer
   x = 5,760.66