Finding the Third Proportional to 6,578.50 and 10,204

Step by Step Solution

1. Step 1: Write the proportion equation
   6,578.50 : 10,204 = 10,204 : x
2. Step 2: Convert to fraction form
   6,578.50/10,204 = 10,204/x
3. Step 3: Cross multiply
   6,578.50x = 10,204 × 10,204
4. Step 4: Simplify right side
   6,578.50x = 104,121,616
5. Step 5: Solve for x
   x = 104,121,616/6,578.50
6. Step 6: Final answer
   x = 15,827.56