Finding the Third Proportional to 1,003.88 and 1,413.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.88 : 1,413.94 = 1,413.94 : x
2. Step 2: Convert to fraction form
   1,003.88/1,413.94 = 1,413.94/x
3. Step 3: Cross multiply
   1,003.88x = 1,413.94 × 1,413.94
4. Step 4: Simplify right side
   1,003.88x = 1,999,219.25
5. Step 5: Solve for x
   x = 1,999,219.25/1,003.88
6. Step 6: Final answer
   x = 1,991.50