Finding the Third Proportional to 12,174 and 18,238

Step by Step Solution

1. Step 1: Write the proportion equation
   12,174 : 18,238 = 18,238 : x
2. Step 2: Convert to fraction form
   12,174/18,238 = 18,238/x
3. Step 3: Cross multiply
   12,174x = 18,238 × 18,238
4. Step 4: Simplify right side
   12,174x = 332,624,644
5. Step 5: Solve for x
   x = 332,624,644/12,174
6. Step 6: Final answer
   x = 27,322.54