Finding the Third Proportional to 22,846 and 49,844

Step by Step Solution

1. Step 1: Write the proportion equation
   22,846 : 49,844 = 49,844 : x
2. Step 2: Convert to fraction form
   22,846/49,844 = 49,844/x
3. Step 3: Cross multiply
   22,846x = 49,844 × 49,844
4. Step 4: Simplify right side
   22,846x = 2,484,424,336
5. Step 5: Solve for x
   x = 2,484,424,336/22,846
6. Step 6: Final answer
   x = 108,746.58