Finding the Third Proportional to 13,536 and 21,238

Step by Step Solution

1. Step 1: Write the proportion equation
   13,536 : 21,238 = 21,238 : x
2. Step 2: Convert to fraction form
   13,536/21,238 = 21,238/x
3. Step 3: Cross multiply
   13,536x = 21,238 × 21,238
4. Step 4: Simplify right side
   13,536x = 451,052,644
5. Step 5: Solve for x
   x = 451,052,644/13,536
6. Step 6: Final answer
   x = 33,322.45