Finding the Third Proportional to 13,206 and 21,105

Step by Step Solution

1. Step 1: Write the proportion equation
   13,206 : 21,105 = 21,105 : x
2. Step 2: Convert to fraction form
   13,206/21,105 = 21,105/x
3. Step 3: Cross multiply
   13,206x = 21,105 × 21,105
4. Step 4: Simplify right side
   13,206x = 445,421,025
5. Step 5: Solve for x
   x = 445,421,025/13,206
6. Step 6: Final answer
   x = 33,728.69