Finding the Third Proportional to 22,996 and 49,514

Step by Step Solution

1. Step 1: Write the proportion equation
   22,996 : 49,514 = 49,514 : x
2. Step 2: Convert to fraction form
   22,996/49,514 = 49,514/x
3. Step 3: Cross multiply
   22,996x = 49,514 × 49,514
4. Step 4: Simplify right side
   22,996x = 2,451,636,196
5. Step 5: Solve for x
   x = 2,451,636,196/22,996
6. Step 6: Final answer
   x = 106,611.42