Finding the Third Proportional to 8,144.25 and 17,690.25

Step by Step Solution

1. Step 1: Write the proportion equation
   8,144.25 : 17,690.25 = 17,690.25 : x
2. Step 2: Convert to fraction form
   8,144.25/17,690.25 = 17,690.25/x
3. Step 3: Cross multiply
   8,144.25x = 17,690.25 × 17,690.25
4. Step 4: Simplify right side
   8,144.25x = 312,944,945.06
5. Step 5: Solve for x
   x = 312,944,945.06/8,144.25
6. Step 6: Final answer
   x = 38,425.26