Finding the Third Proportional to 2,855.25 and 3,965.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,855.25 : 3,965.63 = 3,965.63 : x
2. Step 2: Convert to fraction form
   2,855.25/3,965.63 = 3,965.63/x
3. Step 3: Cross multiply
   2,855.25x = 3,965.63 × 3,965.63
4. Step 4: Simplify right side
   2,855.25x = 15,726,181.64
5. Step 5: Solve for x
   x = 15,726,181.64/2,855.25
6. Step 6: Final answer
   x = 5,507.81