Finding the Third Proportional to 8,204.25 and 17,433.75

Step by Step Solution

1. Step 1: Write the proportion equation
   8,204.25 : 17,433.75 = 17,433.75 : x
2. Step 2: Convert to fraction form
   8,204.25/17,433.75 = 17,433.75/x
3. Step 3: Cross multiply
   8,204.25x = 17,433.75 × 17,433.75
4. Step 4: Simplify right side
   8,204.25x = 303,935,639.06
5. Step 5: Solve for x
   x = 303,935,639.06/8,204.25
6. Step 6: Final answer
   x = 37,046.12