Finding the Third Proportional to 10,189 and 16,212

Step by Step Solution

1. Step 1: Write the proportion equation
   10,189 : 16,212 = 16,212 : x
2. Step 2: Convert to fraction form
   10,189/16,212 = 16,212/x
3. Step 3: Cross multiply
   10,189x = 16,212 × 16,212
4. Step 4: Simplify right side
   10,189x = 262,828,944
5. Step 5: Solve for x
   x = 262,828,944/10,189
6. Step 6: Final answer
   x = 25,795.36