Finding the Third Proportional to 2,235.50 and 3,277.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,235.50 : 3,277.25 = 3,277.25 : x
2. Step 2: Convert to fraction form
   2,235.50/3,277.25 = 3,277.25/x
3. Step 3: Cross multiply
   2,235.50x = 3,277.25 × 3,277.25
4. Step 4: Simplify right side
   2,235.50x = 10,740,367.56
5. Step 5: Solve for x
   x = 10,740,367.56/2,235.50
6. Step 6: Final answer
   x = 4,804.46