Finding the Third Proportional to 828.69 and 1,805.31

Step by Step Solution

1. Step 1: Write the proportion equation
   828.69 : 1,805.31 = 1,805.31 : x
2. Step 2: Convert to fraction form
   828.69/1,805.31 = 1,805.31/x
3. Step 3: Cross multiply
   828.69x = 1,805.31 × 1,805.31
4. Step 4: Simplify right side
   828.69x = 3,259,153.22
5. Step 5: Solve for x
   x = 3,259,153.22/828.69
6. Step 6: Final answer
   x = 3,932.91