Finding the Third Proportional to 13,684 and 20,436

Step by Step Solution

1. Step 1: Write the proportion equation
   13,684 : 20,436 = 20,436 : x
2. Step 2: Convert to fraction form
   13,684/20,436 = 20,436/x
3. Step 3: Cross multiply
   13,684x = 20,436 × 20,436
4. Step 4: Simplify right side
   13,684x = 417,630,096
5. Step 5: Solve for x
   x = 417,630,096/13,684
6. Step 6: Final answer
   x = 30,519.59