Finding the Third Proportional to 819.56 and 1,821.38

Step by Step Solution

1. Step 1: Write the proportion equation
   819.56 : 1,821.38 = 1,821.38 : x
2. Step 2: Convert to fraction form
   819.56/1,821.38 = 1,821.38/x
3. Step 3: Cross multiply
   819.56x = 1,821.38 × 1,821.38
4. Step 4: Simplify right side
   819.56x = 3,317,406.89
5. Step 5: Solve for x
   x = 3,317,406.89/819.56
6. Step 6: Final answer
   x = 4,047.78