Finding the Third Proportional to 31,641 and 67,971

Step by Step Solution

1. Step 1: Write the proportion equation
   31,641 : 67,971 = 67,971 : x
2. Step 2: Convert to fraction form
   31,641/67,971 = 67,971/x
3. Step 3: Cross multiply
   31,641x = 67,971 × 67,971
4. Step 4: Simplify right side
   31,641x = 4,620,056,841
5. Step 5: Solve for x
   x = 4,620,056,841/31,641
6. Step 6: Final answer
   x = 146,014.88