Finding the Third Proportional to 8,329.75 and 17,738.25

Step by Step Solution

1. Step 1: Write the proportion equation
   8,329.75 : 17,738.25 = 17,738.25 : x
2. Step 2: Convert to fraction form
   8,329.75/17,738.25 = 17,738.25/x
3. Step 3: Cross multiply
   8,329.75x = 17,738.25 × 17,738.25
4. Step 4: Simplify right side
   8,329.75x = 314,645,513.06
5. Step 5: Solve for x
   x = 314,645,513.06/8,329.75
6. Step 6: Final answer
   x = 37,773.70