Finding the Third Proportional to 6,578 and 7,142

Step by Step Solution

1. Step 1: Write the proportion equation
   6,578 : 7,142 = 7,142 : x
2. Step 2: Convert to fraction form
   6,578/7,142 = 7,142/x
3. Step 3: Cross multiply
   6,578x = 7,142 × 7,142
4. Step 4: Simplify right side
   6,578x = 51,008,164
5. Step 5: Solve for x
   x = 51,008,164/6,578
6. Step 6: Final answer
   x = 7,754.36