Finding the Third Proportional to 10,422 and 16,162

Step by Step Solution

1. Step 1: Write the proportion equation
   10,422 : 16,162 = 16,162 : x
2. Step 2: Convert to fraction form
   10,422/16,162 = 16,162/x
3. Step 3: Cross multiply
   10,422x = 16,162 × 16,162
4. Step 4: Simplify right side
   10,422x = 261,210,244
5. Step 5: Solve for x
   x = 261,210,244/10,422
6. Step 6: Final answer
   x = 25,063.35