Finding the Third Proportional to 31,841 and 67,167

Step by Step Solution

1. Step 1: Write the proportion equation
   31,841 : 67,167 = 67,167 : x
2. Step 2: Convert to fraction form
   31,841/67,167 = 67,167/x
3. Step 3: Cross multiply
   31,841x = 67,167 × 67,167
4. Step 4: Simplify right side
   31,841x = 4,511,405,889
5. Step 5: Solve for x
   x = 4,511,405,889/31,841
6. Step 6: Final answer
   x = 141,685.43