Finding the Third Proportional to 2,536.25 and 5,142.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,536.25 : 5,142.25 = 5,142.25 : x
2. Step 2: Convert to fraction form
   2,536.25/5,142.25 = 5,142.25/x
3. Step 3: Cross multiply
   2,536.25x = 5,142.25 × 5,142.25
4. Step 4: Simplify right side
   2,536.25x = 26,442,735.06
5. Step 5: Solve for x
   x = 26,442,735.06/2,536.25
6. Step 6: Final answer
   x = 10,425.92