Finding the Third Proportional to 829.50 and 1,774

Step by Step Solution

1. Step 1: Write the proportion equation
   829.50 : 1,774 = 1,774 : x
2. Step 2: Convert to fraction form
   829.50/1,774 = 1,774/x
3. Step 3: Cross multiply
   829.50x = 1,774 × 1,774
4. Step 4: Simplify right side
   829.50x = 3,147,076
5. Step 5: Solve for x
   x = 3,147,076/829.50
6. Step 6: Final answer
   x = 3,793.94