Finding the Third Proportional to 6,745.75 and 10,049.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,745.75 : 10,049.25 = 10,049.25 : x
2. Step 2: Convert to fraction form
   6,745.75/10,049.25 = 10,049.25/x
3. Step 3: Cross multiply
   6,745.75x = 10,049.25 × 10,049.25
4. Step 4: Simplify right side
   6,745.75x = 100,987,425.56
5. Step 5: Solve for x
   x = 100,987,425.56/6,745.75
6. Step 6: Final answer
   x = 14,970.53