Finding the Third Proportional to 31,167 and 41,768

Step by Step Solution

1. Step 1: Write the proportion equation
   31,167 : 41,768 = 41,768 : x
2. Step 2: Convert to fraction form
   31,167/41,768 = 41,768/x
3. Step 3: Cross multiply
   31,167x = 41,768 × 41,768
4. Step 4: Simplify right side
   31,167x = 1,744,565,824
5. Step 5: Solve for x
   x = 1,744,565,824/31,167
6. Step 6: Final answer
   x = 55,974.78