Finding the Third Proportional to 12,282.65 and 19,413.30

Step by Step Solution

1. Step 1: Write the proportion equation
   12,282.65 : 19,413.30 = 19,413.30 : x
2. Step 2: Convert to fraction form
   12,282.65/19,413.30 = 19,413.30/x
3. Step 3: Cross multiply
   12,282.65x = 19,413.30 × 19,413.30
4. Step 4: Simplify right side
   12,282.65x = 376,876,054.09
5. Step 5: Solve for x
   x = 376,876,054.09/12,282.65
6. Step 6: Final answer
   x = 30,683.60