Finding the Third Proportional to 12,364 and 18,406

Step by Step Solution

1. Step 1: Write the proportion equation
   12,364 : 18,406 = 18,406 : x
2. Step 2: Convert to fraction form
   12,364/18,406 = 18,406/x
3. Step 3: Cross multiply
   12,364x = 18,406 × 18,406
4. Step 4: Simplify right side
   12,364x = 338,780,836
5. Step 5: Solve for x
   x = 338,780,836/12,364
6. Step 6: Final answer
   x = 27,400.59