Finding the Third Proportional to 6,760 and 14,150

Step by Step Solution

1. Step 1: Write the proportion equation
   6,760 : 14,150 = 14,150 : x
2. Step 2: Convert to fraction form
   6,760/14,150 = 14,150/x
3. Step 3: Cross multiply
   6,760x = 14,150 × 14,150
4. Step 4: Simplify right side
   6,760x = 200,222,500
5. Step 5: Solve for x
   x = 200,222,500/6,760
6. Step 6: Final answer
   x = 29,618.71