Finding the Third Proportional to 13,644 and 20,484

Step by Step Solution

1. Step 1: Write the proportion equation
   13,644 : 20,484 = 20,484 : x
2. Step 2: Convert to fraction form
   13,644/20,484 = 20,484/x
3. Step 3: Cross multiply
   13,644x = 20,484 × 20,484
4. Step 4: Simplify right side
   13,644x = 419,594,256
5. Step 5: Solve for x
   x = 419,594,256/13,644
6. Step 6: Final answer
   x = 30,753.02