Finding the Third Proportional to 6,578 and 10,180

Step by Step Solution

1. Step 1: Write the proportion equation
   6,578 : 10,180 = 10,180 : x
2. Step 2: Convert to fraction form
   6,578/10,180 = 10,180/x
3. Step 3: Cross multiply
   6,578x = 10,180 × 10,180
4. Step 4: Simplify right side
   6,578x = 103,632,400
5. Step 5: Solve for x
   x = 103,632,400/6,578
6. Step 6: Final answer
   x = 15,754.39