Finding the Third Proportional to 13,646 and 20,384

Step by Step Solution

1. Step 1: Write the proportion equation
   13,646 : 20,384 = 20,384 : x
2. Step 2: Convert to fraction form
   13,646/20,384 = 20,384/x
3. Step 3: Cross multiply
   13,646x = 20,384 × 20,384
4. Step 4: Simplify right side
   13,646x = 415,507,456
5. Step 5: Solve for x
   x = 415,507,456/13,646
6. Step 6: Final answer
   x = 30,449.03