Finding the Third Proportional to 3,413.81 and 3,758.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,413.81 : 3,758.06 = 3,758.06 : x
2. Step 2: Convert to fraction form
   3,413.81/3,758.06 = 3,758.06/x
3. Step 3: Cross multiply
   3,413.81x = 3,758.06 × 3,758.06
4. Step 4: Simplify right side
   3,413.81x = 14,123,033.75
5. Step 5: Solve for x
   x = 14,123,033.75/3,413.81
6. Step 6: Final answer
   x = 4,137.03