Finding the Third Proportional to 15,744 and 33,764

Step by Step Solution

1. Step 1: Write the proportion equation
   15,744 : 33,764 = 33,764 : x
2. Step 2: Convert to fraction form
   15,744/33,764 = 33,764/x
3. Step 3: Cross multiply
   15,744x = 33,764 × 33,764
4. Step 4: Simplify right side
   15,744x = 1,140,007,696
5. Step 5: Solve for x
   x = 1,140,007,696/15,744
6. Step 6: Final answer
   x = 72,409.03