Finding the Third Proportional to 2,081.75 and 2,771.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,081.75 : 2,771.25 = 2,771.25 : x
2. Step 2: Convert to fraction form
   2,081.75/2,771.25 = 2,771.25/x
3. Step 3: Cross multiply
   2,081.75x = 2,771.25 × 2,771.25
4. Step 4: Simplify right side
   2,081.75x = 7,679,826.56
5. Step 5: Solve for x
   x = 7,679,826.56/2,081.75
6. Step 6: Final answer
   x = 3,689.12