Finding the Third Proportional to 34,504 and 37,744

Step by Step Solution

1. Step 1: Write the proportion equation
   34,504 : 37,744 = 37,744 : x
2. Step 2: Convert to fraction form
   34,504/37,744 = 37,744/x
3. Step 3: Cross multiply
   34,504x = 37,744 × 37,744
4. Step 4: Simplify right side
   34,504x = 1,424,609,536
5. Step 5: Solve for x
   x = 1,424,609,536/34,504
6. Step 6: Final answer
   x = 41,288.24