Finding the Third Proportional to 8,142.75 and 12,212.25

Step by Step Solution

1. Step 1: Write the proportion equation
   8,142.75 : 12,212.25 = 12,212.25 : x
2. Step 2: Convert to fraction form
   8,142.75/12,212.25 = 12,212.25/x
3. Step 3: Cross multiply
   8,142.75x = 12,212.25 × 12,212.25
4. Step 4: Simplify right side
   8,142.75x = 149,139,050.06
5. Step 5: Solve for x
   x = 149,139,050.06/8,142.75
6. Step 6: Final answer
   x = 18,315.56