Finding the Third Proportional to 3,576 and 5,525.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,576 : 5,525.25 = 5,525.25 : x
2. Step 2: Convert to fraction form
   3,576/5,525.25 = 5,525.25/x
3. Step 3: Cross multiply
   3,576x = 5,525.25 × 5,525.25
4. Step 4: Simplify right side
   3,576x = 30,528,387.56
5. Step 5: Solve for x
   x = 30,528,387.56/3,576
6. Step 6: Final answer
   x = 8,537.02