Finding the Third Proportional to 7,148.25 and 9,544.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,148.25 : 9,544.50 = 9,544.50 : x
2. Step 2: Convert to fraction form
   7,148.25/9,544.50 = 9,544.50/x
3. Step 3: Cross multiply
   7,148.25x = 9,544.50 × 9,544.50
4. Step 4: Simplify right side
   7,148.25x = 91,097,480.25
5. Step 5: Solve for x
   x = 91,097,480.25/7,148.25
6. Step 6: Final answer
   x = 12,744.03