Finding the Third Proportional to 4,586 and 10,051

Step by Step Solution

1. Step 1: Write the proportion equation
   4,586 : 10,051 = 10,051 : x
2. Step 2: Convert to fraction form
   4,586/10,051 = 10,051/x
3. Step 3: Cross multiply
   4,586x = 10,051 × 10,051
4. Step 4: Simplify right side
   4,586x = 101,022,601
5. Step 5: Solve for x
   x = 101,022,601/4,586
6. Step 6: Final answer
   x = 22,028.48