Finding the Third Proportional to 2,675.25 and 5,536.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,675.25 : 5,536.69 = 5,536.69 : x
2. Step 2: Convert to fraction form
   2,675.25/5,536.69 = 5,536.69/x
3. Step 3: Cross multiply
   2,675.25x = 5,536.69 × 5,536.69
4. Step 4: Simplify right side
   2,675.25x = 30,654,908.47
5. Step 5: Solve for x
   x = 30,654,908.47/2,675.25
6. Step 6: Final answer
   x = 11,458.71