Finding the Third Proportional to 3,323.50 and 7,840.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,323.50 : 7,840.25 = 7,840.25 : x
2. Step 2: Convert to fraction form
   3,323.50/7,840.25 = 7,840.25/x
3. Step 3: Cross multiply
   3,323.50x = 7,840.25 × 7,840.25
4. Step 4: Simplify right side
   3,323.50x = 61,469,520.06
5. Step 5: Solve for x
   x = 61,469,520.06/3,323.50
6. Step 6: Final answer
   x = 18,495.42