Finding the Third Proportional to 8,578 and 13,051

Step by Step Solution

1. Step 1: Write the proportion equation
   8,578 : 13,051 = 13,051 : x
2. Step 2: Convert to fraction form
   8,578/13,051 = 13,051/x
3. Step 3: Cross multiply
   8,578x = 13,051 × 13,051
4. Step 4: Simplify right side
   8,578x = 170,328,601
5. Step 5: Solve for x
   x = 170,328,601/8,578
6. Step 6: Final answer
   x = 19,856.45