Finding the Third Proportional to 820.50 and 1,822.88

Step by Step Solution

1. Step 1: Write the proportion equation
   820.50 : 1,822.88 = 1,822.88 : x
2. Step 2: Convert to fraction form
   820.50/1,822.88 = 1,822.88/x
3. Step 3: Cross multiply
   820.50x = 1,822.88 × 1,822.88
4. Step 4: Simplify right side
   820.50x = 3,322,873.27
5. Step 5: Solve for x
   x = 3,322,873.27/820.50
6. Step 6: Final answer
   x = 4,049.82