Finding the Third Proportional to 3,290.84 and 7,768.62

Step by Step Solution

1. Step 1: Write the proportion equation
   3,290.84 : 7,768.62 = 7,768.62 : x
2. Step 2: Convert to fraction form
   3,290.84/7,768.62 = 7,768.62/x
3. Step 3: Cross multiply
   3,290.84x = 7,768.62 × 7,768.62
4. Step 4: Simplify right side
   3,290.84x = 60,351,413.01
5. Step 5: Solve for x
   x = 60,351,413.01/3,290.84
6. Step 6: Final answer
   x = 18,339.23