Finding the Third Proportional to 8,174 and 17,731

Step by Step Solution

1. Step 1: Write the proportion equation
   8,174 : 17,731 = 17,731 : x
2. Step 2: Convert to fraction form
   8,174/17,731 = 17,731/x
3. Step 3: Cross multiply
   8,174x = 17,731 × 17,731
4. Step 4: Simplify right side
   8,174x = 314,388,361
5. Step 5: Solve for x
   x = 314,388,361/8,174
6. Step 6: Final answer
   x = 38,462.00