Finding the Third Proportional to 874 and 1,819.25

Step by Step Solution

1. Step 1: Write the proportion equation
   874 : 1,819.25 = 1,819.25 : x
2. Step 2: Convert to fraction form
   874/1,819.25 = 1,819.25/x
3. Step 3: Cross multiply
   874x = 1,819.25 × 1,819.25
4. Step 4: Simplify right side
   874x = 3,309,670.56
5. Step 5: Solve for x
   x = 3,309,670.56/874
6. Step 6: Final answer
   x = 3,786.81