Finding the Third Proportional to 6,144.25 and 9,222.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,144.25 : 9,222.50 = 9,222.50 : x
2. Step 2: Convert to fraction form
   6,144.25/9,222.50 = 9,222.50/x
3. Step 3: Cross multiply
   6,144.25x = 9,222.50 × 9,222.50
4. Step 4: Simplify right side
   6,144.25x = 85,054,506.25
5. Step 5: Solve for x
   x = 85,054,506.25/6,144.25
6. Step 6: Final answer
   x = 13,842.94