Finding the Third Proportional to 31,871 and 69,881

Step by Step Solution

1. Step 1: Write the proportion equation
   31,871 : 69,881 = 69,881 : x
2. Step 2: Convert to fraction form
   31,871/69,881 = 69,881/x
3. Step 3: Cross multiply
   31,871x = 69,881 × 69,881
4. Step 4: Simplify right side
   31,871x = 4,883,354,161
5. Step 5: Solve for x
   x = 4,883,354,161/31,871
6. Step 6: Final answer
   x = 153,222.50