Finding the Third Proportional to 22,814 and 49,984

Step by Step Solution

1. Step 1: Write the proportion equation
   22,814 : 49,984 = 49,984 : x
2. Step 2: Convert to fraction form
   22,814/49,984 = 49,984/x
3. Step 3: Cross multiply
   22,814x = 49,984 × 49,984
4. Step 4: Simplify right side
   22,814x = 2,498,400,256
5. Step 5: Solve for x
   x = 2,498,400,256/22,814
6. Step 6: Final answer
   x = 109,511.71