Finding the Third Proportional to 392.52 and 825.43

Step by Step Solution

1. Step 1: Write the proportion equation
   392.52 : 825.43 = 825.43 : x
2. Step 2: Convert to fraction form
   392.52/825.43 = 825.43/x
3. Step 3: Cross multiply
   392.52x = 825.43 × 825.43
4. Step 4: Simplify right side
   392.52x = 681,340.62
5. Step 5: Solve for x
   x = 681,340.62/392.52
6. Step 6: Final answer
   x = 1,735.81