Finding the Third Proportional to 5,266.69 and 11,493.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,266.69 : 11,493.56 = 11,493.56 : x
2. Step 2: Convert to fraction form
   5,266.69/11,493.56 = 11,493.56/x
3. Step 3: Cross multiply
   5,266.69x = 11,493.56 × 11,493.56
4. Step 4: Simplify right side
   5,266.69x = 132,101,978.94
5. Step 5: Solve for x
   x = 132,101,978.94/5,266.69
6. Step 6: Final answer
   x = 25,082.56