Finding the Third Proportional to 10,768 and 23,544

Step by Step Solution

1. Step 1: Write the proportion equation
   10,768 : 23,544 = 23,544 : x
2. Step 2: Convert to fraction form
   10,768/23,544 = 23,544/x
3. Step 3: Cross multiply
   10,768x = 23,544 × 23,544
4. Step 4: Simplify right side
   10,768x = 554,319,936
5. Step 5: Solve for x
   x = 554,319,936/10,768
6. Step 6: Final answer
   x = 51,478.45