Finding the Third Proportional to 8,584 and 17,942

Step by Step Solution

1. Step 1: Write the proportion equation
   8,584 : 17,942 = 17,942 : x
2. Step 2: Convert to fraction form
   8,584/17,942 = 17,942/x
3. Step 3: Cross multiply
   8,584x = 17,942 × 17,942
4. Step 4: Simplify right side
   8,584x = 321,915,364
5. Step 5: Solve for x
   x = 321,915,364/8,584
6. Step 6: Final answer
   x = 37,501.79