Finding the Third Proportional to 831 and 1,822.50

Step by Step Solution

1. Step 1: Write the proportion equation
   831 : 1,822.50 = 1,822.50 : x
2. Step 2: Convert to fraction form
   831/1,822.50 = 1,822.50/x
3. Step 3: Cross multiply
   831x = 1,822.50 × 1,822.50
4. Step 4: Simplify right side
   831x = 3,321,506.25
5. Step 5: Solve for x
   x = 3,321,506.25/831
6. Step 6: Final answer
   x = 3,997.00