Finding the Third Proportional to 4,186 and 10,150

Step by Step Solution

1. Step 1: Write the proportion equation
   4,186 : 10,150 = 10,150 : x
2. Step 2: Convert to fraction form
   4,186/10,150 = 10,150/x
3. Step 3: Cross multiply
   4,186x = 10,150 × 10,150
4. Step 4: Simplify right side
   4,186x = 103,022,500
5. Step 5: Solve for x
   x = 103,022,500/4,186
6. Step 6: Final answer
   x = 24,611.20