Finding the Third Proportional to 31,971 and 69,771

Step by Step Solution

1. Step 1: Write the proportion equation
   31,971 : 69,771 = 69,771 : x
2. Step 2: Convert to fraction form
   31,971/69,771 = 69,771/x
3. Step 3: Cross multiply
   31,971x = 69,771 × 69,771
4. Step 4: Simplify right side
   31,971x = 4,867,992,441
5. Step 5: Solve for x
   x = 4,867,992,441/31,971
6. Step 6: Final answer
   x = 152,262.75