Finding the Third Proportional to 10,900 and 23,768

Step by Step Solution

1. Step 1: Write the proportion equation
   10,900 : 23,768 = 23,768 : x
2. Step 2: Convert to fraction form
   10,900/23,768 = 23,768/x
3. Step 3: Cross multiply
   10,900x = 23,768 × 23,768
4. Step 4: Simplify right side
   10,900x = 564,917,824
5. Step 5: Solve for x
   x = 564,917,824/10,900
6. Step 6: Final answer
   x = 51,827.32