Finding the Third Proportional to 13,470 and 20,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,470 : 20,413.50 = 20,413.50 : x
2. Step 2: Convert to fraction form
   13,470/20,413.50 = 20,413.50/x
3. Step 3: Cross multiply
   13,470x = 20,413.50 × 20,413.50
4. Step 4: Simplify right side
   13,470x = 416,710,982.25
5. Step 5: Solve for x
   x = 416,710,982.25/13,470
6. Step 6: Final answer
   x = 30,936.23