Finding the Third Proportional to 11,578.78 and 23,566.78

Step by Step Solution

1. Step 1: Write the proportion equation
   11,578.78 : 23,566.78 = 23,566.78 : x
2. Step 2: Convert to fraction form
   11,578.78/23,566.78 = 23,566.78/x
3. Step 3: Cross multiply
   11,578.78x = 23,566.78 × 23,566.78
4. Step 4: Simplify right side
   11,578.78x = 555,393,178.49
5. Step 5: Solve for x
   x = 555,393,178.49/11,578.78
6. Step 6: Final answer
   x = 47,966.46