Finding the Third Proportional to 8,171 and 17,554

Step by Step Solution

1. Step 1: Write the proportion equation
   8,171 : 17,554 = 17,554 : x
2. Step 2: Convert to fraction form
   8,171/17,554 = 17,554/x
3. Step 3: Cross multiply
   8,171x = 17,554 × 17,554
4. Step 4: Simplify right side
   8,171x = 308,142,916
5. Step 5: Solve for x
   x = 308,142,916/8,171
6. Step 6: Final answer
   x = 37,711.78