Finding the Third Proportional to 2,965.50 and 4,074.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,965.50 : 4,074.75 = 4,074.75 : x
2. Step 2: Convert to fraction form
   2,965.50/4,074.75 = 4,074.75/x
3. Step 3: Cross multiply
   2,965.50x = 4,074.75 × 4,074.75
4. Step 4: Simplify right side
   2,965.50x = 16,603,587.56
5. Step 5: Solve for x
   x = 16,603,587.56/2,965.50
6. Step 6: Final answer
   x = 5,598.92