Finding the Third Proportional to 2,923.88 and 5,578.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,923.88 : 5,578.31 = 5,578.31 : x
2. Step 2: Convert to fraction form
   2,923.88/5,578.31 = 5,578.31/x
3. Step 3: Cross multiply
   2,923.88x = 5,578.31 × 5,578.31
4. Step 4: Simplify right side
   2,923.88x = 31,117,570.35
5. Step 5: Solve for x
   x = 31,117,570.35/2,923.88
6. Step 6: Final answer
   x = 10,642.58