Finding the Third Proportional to 829.31 and 1,801.31

Step by Step Solution

1. Step 1: Write the proportion equation
   829.31 : 1,801.31 = 1,801.31 : x
2. Step 2: Convert to fraction form
   829.31/1,801.31 = 1,801.31/x
3. Step 3: Cross multiply
   829.31x = 1,801.31 × 1,801.31
4. Step 4: Simplify right side
   829.31x = 3,244,726.72
5. Step 5: Solve for x
   x = 3,244,726.72/829.31
6. Step 6: Final answer
   x = 3,912.55