Finding the Third Proportional to 6,768 and 10,142.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,768 : 10,142.25 = 10,142.25 : x
2. Step 2: Convert to fraction form
   6,768/10,142.25 = 10,142.25/x
3. Step 3: Cross multiply
   6,768x = 10,142.25 × 10,142.25
4. Step 4: Simplify right side
   6,768x = 102,865,235.06
5. Step 5: Solve for x
   x = 102,865,235.06/6,768
6. Step 6: Final answer
   x = 15,198.76