Finding the Third Proportional to 10,030 and 10,768

Step by Step Solution

1. Step 1: Write the proportion equation
   10,030 : 10,768 = 10,768 : x
2. Step 2: Convert to fraction form
   10,030/10,768 = 10,768/x
3. Step 3: Cross multiply
   10,030x = 10,768 × 10,768
4. Step 4: Simplify right side
   10,030x = 115,949,824
5. Step 5: Solve for x
   x = 115,949,824/10,030
6. Step 6: Final answer
   x = 11,560.30