Finding the Third Proportional to 13,171 and 31,486

Step by Step Solution

1. Step 1: Write the proportion equation
   13,171 : 31,486 = 31,486 : x
2. Step 2: Convert to fraction form
   13,171/31,486 = 31,486/x
3. Step 3: Cross multiply
   13,171x = 31,486 × 31,486
4. Step 4: Simplify right side
   13,171x = 991,368,196
5. Step 5: Solve for x
   x = 991,368,196/13,171
6. Step 6: Final answer
   x = 75,269.01