Finding the Third Proportional to 11,836 and 13,420

Step by Step Solution

1. Step 1: Write the proportion equation
   11,836 : 13,420 = 13,420 : x
2. Step 2: Convert to fraction form
   11,836/13,420 = 13,420/x
3. Step 3: Cross multiply
   11,836x = 13,420 × 13,420
4. Step 4: Simplify right side
   11,836x = 180,096,400
5. Step 5: Solve for x
   x = 180,096,400/11,836
6. Step 6: Final answer
   x = 15,215.99