Finding the Third Proportional to 828 and 1,819.27

Step by Step Solution

1. Step 1: Write the proportion equation
   828 : 1,819.27 = 1,819.27 : x
2. Step 2: Convert to fraction form
   828/1,819.27 = 1,819.27/x
3. Step 3: Cross multiply
   828x = 1,819.27 × 1,819.27
4. Step 4: Simplify right side
   828x = 3,309,727.41
5. Step 5: Solve for x
   x = 3,309,727.41/828
6. Step 6: Final answer
   x = 3,997.26