Finding the Third Proportional to 1,413.75 and 3,669.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.75 : 3,669.38 = 3,669.38 : x
2. Step 2: Convert to fraction form
   1,413.75/3,669.38 = 3,669.38/x
3. Step 3: Cross multiply
   1,413.75x = 3,669.38 × 3,669.38
4. Step 4: Simplify right side
   1,413.75x = 13,464,312.89
5. Step 5: Solve for x
   x = 13,464,312.89/1,413.75
6. Step 6: Final answer
   x = 9,523.83