Finding the Third Proportional to 773.72 and 1,825.31

Step by Step Solution

1. Step 1: Write the proportion equation
   773.72 : 1,825.31 = 1,825.31 : x
2. Step 2: Convert to fraction form
   773.72/1,825.31 = 1,825.31/x
3. Step 3: Cross multiply
   773.72x = 1,825.31 × 1,825.31
4. Step 4: Simplify right side
   773.72x = 3,331,765.72
5. Step 5: Solve for x
   x = 3,331,765.72/773.72
6. Step 6: Final answer
   x = 4,306.17