Finding the Third Proportional to 14,142 and 21,942

Step by Step Solution

1. Step 1: Write the proportion equation
   14,142 : 21,942 = 21,942 : x
2. Step 2: Convert to fraction form
   14,142/21,942 = 21,942/x
3. Step 3: Cross multiply
   14,142x = 21,942 × 21,942
4. Step 4: Simplify right side
   14,142x = 481,451,364
5. Step 5: Solve for x
   x = 481,451,364/14,142
6. Step 6: Final answer
   x = 34,044.08