Finding the Third Proportional to 2,119.50 and 2,855.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,119.50 : 2,855.25 = 2,855.25 : x
2. Step 2: Convert to fraction form
   2,119.50/2,855.25 = 2,855.25/x
3. Step 3: Cross multiply
   2,119.50x = 2,855.25 × 2,855.25
4. Step 4: Simplify right side
   2,119.50x = 8,152,452.56
5. Step 5: Solve for x
   x = 8,152,452.56/2,119.50
6. Step 6: Final answer
   x = 3,846.40