Finding the Third Proportional to 13,570 and 21,270

Step by Step Solution

1. Step 1: Write the proportion equation
   13,570 : 21,270 = 21,270 : x
2. Step 2: Convert to fraction form
   13,570/21,270 = 21,270/x
3. Step 3: Cross multiply
   13,570x = 21,270 × 21,270
4. Step 4: Simplify right side
   13,570x = 452,412,900
5. Step 5: Solve for x
   x = 452,412,900/13,570
6. Step 6: Final answer
   x = 33,339.20