Finding the Third Proportional to 10,168 and 23,753

Step by Step Solution

1. Step 1: Write the proportion equation
   10,168 : 23,753 = 23,753 : x
2. Step 2: Convert to fraction form
   10,168/23,753 = 23,753/x
3. Step 3: Cross multiply
   10,168x = 23,753 × 23,753
4. Step 4: Simplify right side
   10,168x = 564,205,009
5. Step 5: Solve for x
   x = 564,205,009/10,168
6. Step 6: Final answer
   x = 55,488.30