Finding the Third Proportional to 17,414 and 37,744

Step by Step Solution

1. Step 1: Write the proportion equation
   17,414 : 37,744 = 37,744 : x
2. Step 2: Convert to fraction form
   17,414/37,744 = 37,744/x
3. Step 3: Cross multiply
   17,414x = 37,744 × 37,744
4. Step 4: Simplify right side
   17,414x = 1,424,609,536
5. Step 5: Solve for x
   x = 1,424,609,536/17,414
6. Step 6: Final answer
   x = 81,808.29