Finding the Third Proportional to 413.25 and 897.38

Step by Step Solution

1. Step 1: Write the proportion equation
   413.25 : 897.38 = 897.38 : x
2. Step 2: Convert to fraction form
   413.25/897.38 = 897.38/x
3. Step 3: Cross multiply
   413.25x = 897.38 × 897.38
4. Step 4: Simplify right side
   413.25x = 805,281.89
5. Step 5: Solve for x
   x = 805,281.89/413.25
6. Step 6: Final answer
   x = 1,948.66