Finding the Third Proportional to 1,413.84 and 1,859.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.84 : 1,859.06 = 1,859.06 : x
2. Step 2: Convert to fraction form
   1,413.84/1,859.06 = 1,859.06/x
3. Step 3: Cross multiply
   1,413.84x = 1,859.06 × 1,859.06
4. Step 4: Simplify right side
   1,413.84x = 3,456,113.38
5. Step 5: Solve for x
   x = 3,456,113.38/1,413.84
6. Step 6: Final answer
   x = 2,444.48