Finding the Third Proportional to 2,270.25 and 3,567.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,270.25 : 3,567.25 = 3,567.25 : x
2. Step 2: Convert to fraction form
   2,270.25/3,567.25 = 3,567.25/x
3. Step 3: Cross multiply
   2,270.25x = 3,567.25 × 3,567.25
4. Step 4: Simplify right side
   2,270.25x = 12,725,272.56
5. Step 5: Solve for x
   x = 12,725,272.56/2,270.25
6. Step 6: Final answer
   x = 5,605.23