Finding the Third Proportional to 3,578.50 and 7,669.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,578.50 : 7,669.50 = 7,669.50 : x
2. Step 2: Convert to fraction form
   3,578.50/7,669.50 = 7,669.50/x
3. Step 3: Cross multiply
   3,578.50x = 7,669.50 × 7,669.50
4. Step 4: Simplify right side
   3,578.50x = 58,821,230.25
5. Step 5: Solve for x
   x = 58,821,230.25/3,578.50
6. Step 6: Final answer
   x = 16,437.40