Finding the Third Proportional to 13,274 and 18,406

Step by Step Solution

1. Step 1: Write the proportion equation
   13,274 : 18,406 = 18,406 : x
2. Step 2: Convert to fraction form
   13,274/18,406 = 18,406/x
3. Step 3: Cross multiply
   13,274x = 18,406 × 18,406
4. Step 4: Simplify right side
   13,274x = 338,780,836
5. Step 5: Solve for x
   x = 338,780,836/13,274
6. Step 6: Final answer
   x = 25,522.14