Finding the Third Proportional to 31,167 and 81,836

Step by Step Solution

1. Step 1: Write the proportion equation
   31,167 : 81,836 = 81,836 : x
2. Step 2: Convert to fraction form
   31,167/81,836 = 81,836/x
3. Step 3: Cross multiply
   31,167x = 81,836 × 81,836
4. Step 4: Simplify right side
   31,167x = 6,697,130,896
5. Step 5: Solve for x
   x = 6,697,130,896/31,167
6. Step 6: Final answer
   x = 214,878.91