Finding the Third Proportional to 8,329.50 and 17,958.38

Step by Step Solution

1. Step 1: Write the proportion equation
   8,329.50 : 17,958.38 = 17,958.38 : x
2. Step 2: Convert to fraction form
   8,329.50/17,958.38 = 17,958.38/x
3. Step 3: Cross multiply
   8,329.50x = 17,958.38 × 17,958.38
4. Step 4: Simplify right side
   8,329.50x = 322,503,232.64
5. Step 5: Solve for x
   x = 322,503,232.64/8,329.50
6. Step 6: Final answer
   x = 38,718.20