Finding the Third Proportional to 8,309.25 and 17,770.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,309.25 : 17,770.50 = 17,770.50 : x
2. Step 2: Convert to fraction form
   8,309.25/17,770.50 = 17,770.50/x
3. Step 3: Cross multiply
   8,309.25x = 17,770.50 × 17,770.50
4. Step 4: Simplify right side
   8,309.25x = 315,790,670.25
5. Step 5: Solve for x
   x = 315,790,670.25/8,309.25
6. Step 6: Final answer
   x = 38,004.71