Finding the Third Proportional to 829.83 and 1,806.05

Step by Step Solution

1. Step 1: Write the proportion equation
   829.83 : 1,806.05 = 1,806.05 : x
2. Step 2: Convert to fraction form
   829.83/1,806.05 = 1,806.05/x
3. Step 3: Cross multiply
   829.83x = 1,806.05 × 1,806.05
4. Step 4: Simplify right side
   829.83x = 3,261,805.31
5. Step 5: Solve for x
   x = 3,261,805.31/829.83
6. Step 6: Final answer
   x = 3,930.70