Finding the Third Proportional to 2,277 and 3,575.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,277 : 3,575.25 = 3,575.25 : x
2. Step 2: Convert to fraction form
   2,277/3,575.25 = 3,575.25/x
3. Step 3: Cross multiply
   2,277x = 3,575.25 × 3,575.25
4. Step 4: Simplify right side
   2,277x = 12,782,412.56
5. Step 5: Solve for x
   x = 12,782,412.56/2,277
6. Step 6: Final answer
   x = 5,613.71