Finding the Third Proportional to 8,165 and 17,039.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,165 : 17,039.50 = 17,039.50 : x
2. Step 2: Convert to fraction form
   8,165/17,039.50 = 17,039.50/x
3. Step 3: Cross multiply
   8,165x = 17,039.50 × 17,039.50
4. Step 4: Simplify right side
   8,165x = 290,344,560.25
5. Step 5: Solve for x
   x = 290,344,560.25/8,165
6. Step 6: Final answer
   x = 35,559.65