Finding the Third Proportional to 10,141 and 20,768

Step by Step Solution

1. Step 1: Write the proportion equation
   10,141 : 20,768 = 20,768 : x
2. Step 2: Convert to fraction form
   10,141/20,768 = 20,768/x
3. Step 3: Cross multiply
   10,141x = 20,768 × 20,768
4. Step 4: Simplify right side
   10,141x = 431,309,824
5. Step 5: Solve for x
   x = 431,309,824/10,141
6. Step 6: Final answer
   x = 42,531.29