Finding the Third Proportional to 22,822 and 49,388

Step by Step Solution

1. Step 1: Write the proportion equation
   22,822 : 49,388 = 49,388 : x
2. Step 2: Convert to fraction form
   22,822/49,388 = 49,388/x
3. Step 3: Cross multiply
   22,822x = 49,388 × 49,388
4. Step 4: Simplify right side
   22,822x = 2,439,174,544
5. Step 5: Solve for x
   x = 2,439,174,544/22,822
6. Step 6: Final answer
   x = 106,878.21