Finding the Third Proportional to 13,842 and 21,492

Step by Step Solution

1. Step 1: Write the proportion equation
   13,842 : 21,492 = 21,492 : x
2. Step 2: Convert to fraction form
   13,842/21,492 = 21,492/x
3. Step 3: Cross multiply
   13,842x = 21,492 × 21,492
4. Step 4: Simplify right side
   13,842x = 461,906,064
5. Step 5: Solve for x
   x = 461,906,064/13,842
6. Step 6: Final answer
   x = 33,369.89