Finding the Third Proportional to 8,206.50 and 12,733.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,206.50 : 12,733.50 = 12,733.50 : x
2. Step 2: Convert to fraction form
   8,206.50/12,733.50 = 12,733.50/x
3. Step 3: Cross multiply
   8,206.50x = 12,733.50 × 12,733.50
4. Step 4: Simplify right side
   8,206.50x = 162,142,022.25
5. Step 5: Solve for x
   x = 162,142,022.25/8,206.50
6. Step 6: Final answer
   x = 19,757.76