Finding the Third Proportional to 4,538.25 and 10,544.63

Step by Step Solution

1. Step 1: Write the proportion equation
   4,538.25 : 10,544.63 = 10,544.63 : x
2. Step 2: Convert to fraction form
   4,538.25/10,544.63 = 10,544.63/x
3. Step 3: Cross multiply
   4,538.25x = 10,544.63 × 10,544.63
4. Step 4: Simplify right side
   4,538.25x = 111,189,116.39
5. Step 5: Solve for x
   x = 111,189,116.39/4,538.25
6. Step 6: Final answer
   x = 24,500.44