Finding the Third Proportional to 3,413.81 and 5,837.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,413.81 : 5,837.06 = 5,837.06 : x
2. Step 2: Convert to fraction form
   3,413.81/5,837.06 = 5,837.06/x
3. Step 3: Cross multiply
   3,413.81x = 5,837.06 × 5,837.06
4. Step 4: Simplify right side
   3,413.81x = 34,071,298.63
5. Step 5: Solve for x
   x = 34,071,298.63/3,413.81
6. Step 6: Final answer
   x = 9,980.42