Finding the Third Proportional to 13,171 and 31,741

Step by Step Solution

1. Step 1: Write the proportion equation
   13,171 : 31,741 = 31,741 : x
2. Step 2: Convert to fraction form
   13,171/31,741 = 31,741/x
3. Step 3: Cross multiply
   13,171x = 31,741 × 31,741
4. Step 4: Simplify right side
   13,171x = 1,007,491,081
5. Step 5: Solve for x
   x = 1,007,491,081/13,171
6. Step 6: Final answer
   x = 76,493.13