Finding the Third Proportional to 33,744 and 46,790

Step by Step Solution

1. Step 1: Write the proportion equation
   33,744 : 46,790 = 46,790 : x
2. Step 2: Convert to fraction form
   33,744/46,790 = 46,790/x
3. Step 3: Cross multiply
   33,744x = 46,790 × 46,790
4. Step 4: Simplify right side
   33,744x = 2,189,304,100
5. Step 5: Solve for x
   x = 2,189,304,100/33,744
6. Step 6: Final answer
   x = 64,879.80