Finding the Third Proportional to 2,081.50 and 2,423.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,081.50 : 2,423.50 = 2,423.50 : x
2. Step 2: Convert to fraction form
   2,081.50/2,423.50 = 2,423.50/x
3. Step 3: Cross multiply
   2,081.50x = 2,423.50 × 2,423.50
4. Step 4: Simplify right side
   2,081.50x = 5,873,352.25
5. Step 5: Solve for x
   x = 5,873,352.25/2,081.50
6. Step 6: Final answer
   x = 2,821.69