Finding the Third Proportional to 3,678.75 and 9,550.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,678.75 : 9,550.50 = 9,550.50 : x
2. Step 2: Convert to fraction form
   3,678.75/9,550.50 = 9,550.50/x
3. Step 3: Cross multiply
   3,678.75x = 9,550.50 × 9,550.50
4. Step 4: Simplify right side
   3,678.75x = 91,212,050.25
5. Step 5: Solve for x
   x = 91,212,050.25/3,678.75
6. Step 6: Final answer
   x = 24,794.31