Finding the Third Proportional to 535.50 and 825.38

Step by Step Solution

1. Step 1: Write the proportion equation
   535.50 : 825.38 = 825.38 : x
2. Step 2: Convert to fraction form
   535.50/825.38 = 825.38/x
3. Step 3: Cross multiply
   535.50x = 825.38 × 825.38
4. Step 4: Simplify right side
   535.50x = 681,243.89
5. Step 5: Solve for x
   x = 681,243.89/535.50
6. Step 6: Final answer
   x = 1,272.16