Finding the Third Proportional to 2,855.25 and 4,161.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,855.25 : 4,161.38 = 4,161.38 : x
2. Step 2: Convert to fraction form
   2,855.25/4,161.38 = 4,161.38/x
3. Step 3: Cross multiply
   2,855.25x = 4,161.38 × 4,161.38
4. Step 4: Simplify right side
   2,855.25x = 17,317,041.89
5. Step 5: Solve for x
   x = 17,317,041.89/2,855.25
6. Step 6: Final answer
   x = 6,064.98