Finding the Third Proportional to 20,413.69 and 31,223.81

Step by Step Solution

1. Step 1: Write the proportion equation
   20,413.69 : 31,223.81 = 31,223.81 : x
2. Step 2: Convert to fraction form
   20,413.69/31,223.81 = 31,223.81/x
3. Step 3: Cross multiply
   20,413.69x = 31,223.81 × 31,223.81
4. Step 4: Simplify right side
   20,413.69x = 974,926,467.04
5. Step 5: Solve for x
   x = 974,926,467.04/20,413.69
6. Step 6: Final answer
   x = 47,758.47