Finding the Third Proportional to 8,204 and 17,574.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,204 : 17,574.50 = 17,574.50 : x
2. Step 2: Convert to fraction form
   8,204/17,574.50 = 17,574.50/x
3. Step 3: Cross multiply
   8,204x = 17,574.50 × 17,574.50
4. Step 4: Simplify right side
   8,204x = 308,863,050.25
5. Step 5: Solve for x
   x = 308,863,050.25/8,204
6. Step 6: Final answer
   x = 37,647.86