Finding the Third Proportional to 5,096 and 10,768

Step by Step Solution

1. Step 1: Write the proportion equation
   5,096 : 10,768 = 10,768 : x
2. Step 2: Convert to fraction form
   5,096/10,768 = 10,768/x
3. Step 3: Cross multiply
   5,096x = 10,768 × 10,768
4. Step 4: Simplify right side
   5,096x = 115,949,824
5. Step 5: Solve for x
   x = 115,949,824/5,096
6. Step 6: Final answer
   x = 22,753.11