Finding the Third Proportional to 827.25 and 1,819.88

Step by Step Solution

1. Step 1: Write the proportion equation
   827.25 : 1,819.88 = 1,819.88 : x
2. Step 2: Convert to fraction form
   827.25/1,819.88 = 1,819.88/x
3. Step 3: Cross multiply
   827.25x = 1,819.88 × 1,819.88
4. Step 4: Simplify right side
   827.25x = 3,311,945.02
5. Step 5: Solve for x
   x = 3,311,945.02/827.25
6. Step 6: Final answer
   x = 4,003.56