Finding the Third Proportional to 22,142 and 34,327

Step by Step Solution

1. Step 1: Write the proportion equation
   22,142 : 34,327 = 34,327 : x
2. Step 2: Convert to fraction form
   22,142/34,327 = 34,327/x
3. Step 3: Cross multiply
   22,142x = 34,327 × 34,327
4. Step 4: Simplify right side
   22,142x = 1,178,342,929
5. Step 5: Solve for x
   x = 1,178,342,929/22,142
6. Step 6: Final answer
   x = 53,217.55