Finding the Third Proportional to 8,072 and 17,605

Step by Step Solution

1. Step 1: Write the proportion equation
   8,072 : 17,605 = 17,605 : x
2. Step 2: Convert to fraction form
   8,072/17,605 = 17,605/x
3. Step 3: Cross multiply
   8,072x = 17,605 × 17,605
4. Step 4: Simplify right side
   8,072x = 309,936,025
5. Step 5: Solve for x
   x = 309,936,025/8,072
6. Step 6: Final answer
   x = 38,396.44