Finding the Third Proportional to 1,644.47 and 3,413.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,644.47 : 3,413.81 = 3,413.81 : x
2. Step 2: Convert to fraction form
   1,644.47/3,413.81 = 3,413.81/x
3. Step 3: Cross multiply
   1,644.47x = 3,413.81 × 3,413.81
4. Step 4: Simplify right side
   1,644.47x = 11,654,115.79
5. Step 5: Solve for x
   x = 11,654,115.79/1,644.47
6. Step 6: Final answer
   x = 7,086.86