Finding the Third Proportional to 3,538.69 and 4,500.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,538.69 : 4,500.56 = 4,500.56 : x
2. Step 2: Convert to fraction form
   3,538.69/4,500.56 = 4,500.56/x
3. Step 3: Cross multiply
   3,538.69x = 4,500.56 × 4,500.56
4. Step 4: Simplify right side
   3,538.69x = 20,255,062.82
5. Step 5: Solve for x
   x = 20,255,062.82/3,538.69
6. Step 6: Final answer
   x = 5,723.89