Finding the Third Proportional to 2,159 and 3,074.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,159 : 3,074.50 = 3,074.50 : x
2. Step 2: Convert to fraction form
   2,159/3,074.50 = 3,074.50/x
3. Step 3: Cross multiply
   2,159x = 3,074.50 × 3,074.50
4. Step 4: Simplify right side
   2,159x = 9,452,550.25
5. Step 5: Solve for x
   x = 9,452,550.25/2,159
6. Step 6: Final answer
   x = 4,378.21