Finding the Third Proportional to 31,891 and 46,866

Step by Step Solution

1. Step 1: Write the proportion equation
   31,891 : 46,866 = 46,866 : x
2. Step 2: Convert to fraction form
   31,891/46,866 = 46,866/x
3. Step 3: Cross multiply
   31,891x = 46,866 × 46,866
4. Step 4: Simplify right side
   31,891x = 2,196,421,956
5. Step 5: Solve for x
   x = 2,196,421,956/31,891
6. Step 6: Final answer
   x = 68,872.78