Finding the Third Proportional to 2,859 and 4,081.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,859 : 4,081.50 = 4,081.50 : x
2. Step 2: Convert to fraction form
   2,859/4,081.50 = 4,081.50/x
3. Step 3: Cross multiply
   2,859x = 4,081.50 × 4,081.50
4. Step 4: Simplify right side
   2,859x = 16,658,642.25
5. Step 5: Solve for x
   x = 16,658,642.25/2,859
6. Step 6: Final answer
   x = 5,826.74