Finding the Third Proportional to 22,896 and 49,836

Step by Step Solution

1. Step 1: Write the proportion equation
   22,896 : 49,836 = 49,836 : x
2. Step 2: Convert to fraction form
   22,896/49,836 = 49,836/x
3. Step 3: Cross multiply
   22,896x = 49,836 × 49,836
4. Step 4: Simplify right side
   22,896x = 2,483,626,896
5. Step 5: Solve for x
   x = 2,483,626,896/22,896
6. Step 6: Final answer
   x = 108,474.27