Finding the Third Proportional to 2,522.25 and 5,147.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,522.25 : 5,147.25 = 5,147.25 : x
2. Step 2: Convert to fraction form
   2,522.25/5,147.25 = 5,147.25/x
3. Step 3: Cross multiply
   2,522.25x = 5,147.25 × 5,147.25
4. Step 4: Simplify right side
   2,522.25x = 26,494,182.56
5. Step 5: Solve for x
   x = 26,494,182.56/2,522.25
6. Step 6: Final answer
   x = 10,504.19