Finding the Third Proportional to 8,204.25 and 17,911.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,204.25 : 17,911.50 = 17,911.50 : x
2. Step 2: Convert to fraction form
   8,204.25/17,911.50 = 17,911.50/x
3. Step 3: Cross multiply
   8,204.25x = 17,911.50 × 17,911.50
4. Step 4: Simplify right side
   8,204.25x = 320,821,832.25
5. Step 5: Solve for x
   x = 320,821,832.25/8,204.25
6. Step 6: Final answer
   x = 39,104.35