Finding the Third Proportional to 1,413.75 and 1,870.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.75 : 1,870.03 = 1,870.03 : x
2. Step 2: Convert to fraction form
   1,413.75/1,870.03 = 1,870.03/x
3. Step 3: Cross multiply
   1,413.75x = 1,870.03 × 1,870.03
4. Step 4: Simplify right side
   1,413.75x = 3,497,016.88
5. Step 5: Solve for x
   x = 3,497,016.88/1,413.75
6. Step 6: Final answer
   x = 2,473.58