Finding the Third Proportional to 3,749.69 and 8,205.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,749.69 : 8,205.56 = 8,205.56 : x
2. Step 2: Convert to fraction form
   3,749.69/8,205.56 = 8,205.56/x
3. Step 3: Cross multiply
   3,749.69x = 8,205.56 × 8,205.56
4. Step 4: Simplify right side
   3,749.69x = 67,331,255.94
5. Step 5: Solve for x
   x = 67,331,255.94/3,749.69
6. Step 6: Final answer
   x = 17,956.50