Finding the Third Proportional to 31,783 and 46,689

Step by Step Solution

1. Step 1: Write the proportion equation
   31,783 : 46,689 = 46,689 : x
2. Step 2: Convert to fraction form
   31,783/46,689 = 46,689/x
3. Step 3: Cross multiply
   31,783x = 46,689 × 46,689
4. Step 4: Simplify right side
   31,783x = 2,179,862,721
5. Step 5: Solve for x
   x = 2,179,862,721/31,783
6. Step 6: Final answer
   x = 68,585.81