Finding the Third Proportional to 5,377.31 and 11,578.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,377.31 : 11,578.69 = 11,578.69 : x
2. Step 2: Convert to fraction form
   5,377.31/11,578.69 = 11,578.69/x
3. Step 3: Cross multiply
   5,377.31x = 11,578.69 × 11,578.69
4. Step 4: Simplify right side
   5,377.31x = 134,066,004.22
5. Step 5: Solve for x
   x = 134,066,004.22/5,377.31
6. Step 6: Final answer
   x = 24,931.79