Finding the Third Proportional to 31,871 and 49,179

Step by Step Solution

1. Step 1: Write the proportion equation
   31,871 : 49,179 = 49,179 : x
2. Step 2: Convert to fraction form
   31,871/49,179 = 49,179/x
3. Step 3: Cross multiply
   31,871x = 49,179 × 49,179
4. Step 4: Simplify right side
   31,871x = 2,418,574,041
5. Step 5: Solve for x
   x = 2,418,574,041/31,871
6. Step 6: Final answer
   x = 75,886.36