Finding the Third Proportional to 31,759 and 46,687

Step by Step Solution

1. Step 1: Write the proportion equation
   31,759 : 46,687 = 46,687 : x
2. Step 2: Convert to fraction form
   31,759/46,687 = 46,687/x
3. Step 3: Cross multiply
   31,759x = 46,687 × 46,687
4. Step 4: Simplify right side
   31,759x = 2,179,675,969
5. Step 5: Solve for x
   x = 2,179,675,969/31,759
6. Step 6: Final answer
   x = 68,631.76