Finding the Third Proportional to 3,786.75 and 8,561.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,786.75 : 8,561.25 = 8,561.25 : x
2. Step 2: Convert to fraction form
   3,786.75/8,561.25 = 8,561.25/x
3. Step 3: Cross multiply
   3,786.75x = 8,561.25 × 8,561.25
4. Step 4: Simplify right side
   3,786.75x = 73,295,001.56
5. Step 5: Solve for x
   x = 73,295,001.56/3,786.75
6. Step 6: Final answer
   x = 19,355.65