Finding the Third Proportional to 8,122.50 and 12,272.25

Step by Step Solution

1. Step 1: Write the proportion equation
   8,122.50 : 12,272.25 = 12,272.25 : x
2. Step 2: Convert to fraction form
   8,122.50/12,272.25 = 12,272.25/x
3. Step 3: Cross multiply
   8,122.50x = 12,272.25 × 12,272.25
4. Step 4: Simplify right side
   8,122.50x = 150,608,120.06
5. Step 5: Solve for x
   x = 150,608,120.06/8,122.50
6. Step 6: Final answer
   x = 18,542.09