Finding the Third Proportional to 31,686 and 46,377

Step by Step Solution

1. Step 1: Write the proportion equation
   31,686 : 46,377 = 46,377 : x
2. Step 2: Convert to fraction form
   31,686/46,377 = 46,377/x
3. Step 3: Cross multiply
   31,686x = 46,377 × 46,377
4. Step 4: Simplify right side
   31,686x = 2,150,826,129
5. Step 5: Solve for x
   x = 2,150,826,129/31,686
6. Step 6: Final answer
   x = 67,879.38