Finding the Third Proportional to 8,222.50 and 12,206.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,222.50 : 12,206.50 = 12,206.50 : x
2. Step 2: Convert to fraction form
   8,222.50/12,206.50 = 12,206.50/x
3. Step 3: Cross multiply
   8,222.50x = 12,206.50 × 12,206.50
4. Step 4: Simplify right side
   8,222.50x = 148,998,642.25
5. Step 5: Solve for x
   x = 148,998,642.25/8,222.50
6. Step 6: Final answer
   x = 18,120.84