Finding the Third Proportional to 2,028.56 and 2,965.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,028.56 : 2,965.69 = 2,965.69 : x
2. Step 2: Convert to fraction form
   2,028.56/2,965.69 = 2,965.69/x
3. Step 3: Cross multiply
   2,028.56x = 2,965.69 × 2,965.69
4. Step 4: Simplify right side
   2,028.56x = 8,795,302.35
5. Step 5: Solve for x
   x = 8,795,302.35/2,028.56
6. Step 6: Final answer
   x = 4,335.73