Finding the Third Proportional to 22,978 and 49,636

Step by Step Solution

1. Step 1: Write the proportion equation
   22,978 : 49,636 = 49,636 : x
2. Step 2: Convert to fraction form
   22,978/49,636 = 49,636/x
3. Step 3: Cross multiply
   22,978x = 49,636 × 49,636
4. Step 4: Simplify right side
   22,978x = 2,463,732,496
5. Step 5: Solve for x
   x = 2,463,732,496/22,978
6. Step 6: Final answer
   x = 107,221.36