Finding the Third Proportional to 22,824 and 49,850

Step by Step Solution

1. Step 1: Write the proportion equation
   22,824 : 49,850 = 49,850 : x
2. Step 2: Convert to fraction form
   22,824/49,850 = 49,850/x
3. Step 3: Cross multiply
   22,824x = 49,850 × 49,850
4. Step 4: Simplify right side
   22,824x = 2,485,022,500
5. Step 5: Solve for x
   x = 2,485,022,500/22,824
6. Step 6: Final answer
   x = 108,877.61