Finding the Third Proportional to 22,144 and 34,242

Step by Step Solution

1. Step 1: Write the proportion equation
   22,144 : 34,242 = 34,242 : x
2. Step 2: Convert to fraction form
   22,144/34,242 = 34,242/x
3. Step 3: Cross multiply
   22,144x = 34,242 × 34,242
4. Step 4: Simplify right side
   22,144x = 1,172,514,564
5. Step 5: Solve for x
   x = 1,172,514,564/22,144
6. Step 6: Final answer
   x = 52,949.54