Finding the Third Proportional to 17,942 and 25,683

Step by Step Solution

1. Step 1: Write the proportion equation
   17,942 : 25,683 = 25,683 : x
2. Step 2: Convert to fraction form
   17,942/25,683 = 25,683/x
3. Step 3: Cross multiply
   17,942x = 25,683 × 25,683
4. Step 4: Simplify right side
   17,942x = 659,616,489
5. Step 5: Solve for x
   x = 659,616,489/17,942
6. Step 6: Final answer
   x = 36,763.82