Finding the Third Proportional to 8,584 and 13,284.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,584 : 13,284.50 = 13,284.50 : x
2. Step 2: Convert to fraction form
   8,584/13,284.50 = 13,284.50/x
3. Step 3: Cross multiply
   8,584x = 13,284.50 × 13,284.50
4. Step 4: Simplify right side
   8,584x = 176,477,940.25
5. Step 5: Solve for x
   x = 176,477,940.25/8,584
6. Step 6: Final answer
   x = 20,558.94