Finding the Third Proportional to 6,144.75 and 9,223.31

Step by Step Solution

1. Step 1: Write the proportion equation
   6,144.75 : 9,223.31 = 9,223.31 : x
2. Step 2: Convert to fraction form
   6,144.75/9,223.31 = 9,223.31/x
3. Step 3: Cross multiply
   6,144.75x = 9,223.31 × 9,223.31
4. Step 4: Simplify right side
   6,144.75x = 85,069,493.47
5. Step 5: Solve for x
   x = 85,069,493.47/6,144.75
6. Step 6: Final answer
   x = 13,844.26