Finding the Third Proportional to 3,934.50 and 8,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,934.50 : 8,584.50 = 8,584.50 : x
2. Step 2: Convert to fraction form
   3,934.50/8,584.50 = 8,584.50/x
3. Step 3: Cross multiply
   3,934.50x = 8,584.50 × 8,584.50
4. Step 4: Simplify right side
   3,934.50x = 73,693,640.25
5. Step 5: Solve for x
   x = 73,693,640.25/3,934.50
6. Step 6: Final answer
   x = 18,730.12