Finding the Third Proportional to 6,080 and 10,768

Step by Step Solution

1. Step 1: Write the proportion equation
   6,080 : 10,768 = 10,768 : x
2. Step 2: Convert to fraction form
   6,080/10,768 = 10,768/x
3. Step 3: Cross multiply
   6,080x = 10,768 × 10,768
4. Step 4: Simplify right side
   6,080x = 115,949,824
5. Step 5: Solve for x
   x = 115,949,824/6,080
6. Step 6: Final answer
   x = 19,070.69