Finding the Third Proportional to 23,544 and 49,824

Step by Step Solution

1. Step 1: Write the proportion equation
   23,544 : 49,824 = 49,824 : x
2. Step 2: Convert to fraction form
   23,544/49,824 = 49,824/x
3. Step 3: Cross multiply
   23,544x = 49,824 × 49,824
4. Step 4: Simplify right side
   23,544x = 2,482,430,976
5. Step 5: Solve for x
   x = 2,482,430,976/23,544
6. Step 6: Final answer
   x = 105,437.94