Finding the Third Proportional to 413.50 and 891.50

Step by Step Solution

1. Step 1: Write the proportion equation
   413.50 : 891.50 = 891.50 : x
2. Step 2: Convert to fraction form
   413.50/891.50 = 891.50/x
3. Step 3: Cross multiply
   413.50x = 891.50 × 891.50
4. Step 4: Simplify right side
   413.50x = 794,772.25
5. Step 5: Solve for x
   x = 794,772.25/413.50
6. Step 6: Final answer
   x = 1,922.06