Finding the Third Proportional to 2,771 and 4,074.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,771 : 4,074.50 = 4,074.50 : x
2. Step 2: Convert to fraction form
   2,771/4,074.50 = 4,074.50/x
3. Step 3: Cross multiply
   2,771x = 4,074.50 × 4,074.50
4. Step 4: Simplify right side
   2,771x = 16,601,550.25
5. Step 5: Solve for x
   x = 16,601,550.25/2,771
6. Step 6: Final answer
   x = 5,991.18