Finding the Third Proportional to 8,069.50 and 17,694.38

Step by Step Solution

1. Step 1: Write the proportion equation
   8,069.50 : 17,694.38 = 17,694.38 : x
2. Step 2: Convert to fraction form
   8,069.50/17,694.38 = 17,694.38/x
3. Step 3: Cross multiply
   8,069.50x = 17,694.38 × 17,694.38
4. Step 4: Simplify right side
   8,069.50x = 313,090,906.64
5. Step 5: Solve for x
   x = 313,090,906.64/8,069.50
6. Step 6: Final answer
   x = 38,799.29