Finding the Third Proportional to 2,642.63 and 5,578.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.63 : 5,578.88 = 5,578.88 : x
2. Step 2: Convert to fraction form
   2,642.63/5,578.88 = 5,578.88/x
3. Step 3: Cross multiply
   2,642.63x = 5,578.88 × 5,578.88
4. Step 4: Simplify right side
   2,642.63x = 31,123,846.27
5. Step 5: Solve for x
   x = 31,123,846.27/2,642.63
6. Step 6: Final answer
   x = 11,777.63