Finding the Third Proportional to 10,186 and 16,229

Step by Step Solution

1. Step 1: Write the proportion equation
   10,186 : 16,229 = 16,229 : x
2. Step 2: Convert to fraction form
   10,186/16,229 = 16,229/x
3. Step 3: Cross multiply
   10,186x = 16,229 × 16,229
4. Step 4: Simplify right side
   10,186x = 263,380,441
5. Step 5: Solve for x
   x = 263,380,441/10,186
6. Step 6: Final answer
   x = 25,857.10