Finding the Third Proportional to 13,205 and 21,023

Step by Step Solution

1. Step 1: Write the proportion equation
   13,205 : 21,023 = 21,023 : x
2. Step 2: Convert to fraction form
   13,205/21,023 = 21,023/x
3. Step 3: Cross multiply
   13,205x = 21,023 × 21,023
4. Step 4: Simplify right side
   13,205x = 441,966,529
5. Step 5: Solve for x
   x = 441,966,529/13,205
6. Step 6: Final answer
   x = 33,469.63