Finding the Third Proportional to 893 and 1,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   893 : 1,413.50 = 1,413.50 : x
2. Step 2: Convert to fraction form
   893/1,413.50 = 1,413.50/x
3. Step 3: Cross multiply
   893x = 1,413.50 × 1,413.50
4. Step 4: Simplify right side
   893x = 1,997,982.25
5. Step 5: Solve for x
   x = 1,997,982.25/893
6. Step 6: Final answer
   x = 2,237.38