Finding the Third Proportional to 22,644 and 49,746

Step by Step Solution

1. Step 1: Write the proportion equation
   22,644 : 49,746 = 49,746 : x
2. Step 2: Convert to fraction form
   22,644/49,746 = 49,746/x
3. Step 3: Cross multiply
   22,644x = 49,746 × 49,746
4. Step 4: Simplify right side
   22,644x = 2,474,664,516
5. Step 5: Solve for x
   x = 2,474,664,516/22,644
6. Step 6: Final answer
   x = 109,285.66