Finding the Third Proportional to 2,536.75 and 5,504.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,536.75 : 5,504.38 = 5,504.38 : x
2. Step 2: Convert to fraction form
   2,536.75/5,504.38 = 5,504.38/x
3. Step 3: Cross multiply
   2,536.75x = 5,504.38 × 5,504.38
4. Step 4: Simplify right side
   2,536.75x = 30,298,144.14
5. Step 5: Solve for x
   x = 30,298,144.14/2,536.75
6. Step 6: Final answer
   x = 11,943.69