Finding the Third Proportional to 5,000 and 10,162

Step by Step Solution

1. Step 1: Write the proportion equation
   5,000 : 10,162 = 10,162 : x
2. Step 2: Convert to fraction form
   5,000/10,162 = 10,162/x
3. Step 3: Cross multiply
   5,000x = 10,162 × 10,162
4. Step 4: Simplify right side
   5,000x = 103,266,244
5. Step 5: Solve for x
   x = 103,266,244/5,000
6. Step 6: Final answer
   x = 20,653.25