Finding the Third Proportional to 6,364 and 10,162

Step by Step Solution

1. Step 1: Write the proportion equation
   6,364 : 10,162 = 10,162 : x
2. Step 2: Convert to fraction form
   6,364/10,162 = 10,162/x
3. Step 3: Cross multiply
   6,364x = 10,162 × 10,162
4. Step 4: Simplify right side
   6,364x = 103,266,244
5. Step 5: Solve for x
   x = 103,266,244/6,364
6. Step 6: Final answer
   x = 16,226.63