Finding the Third Proportional to 22,806 and 49,256

Step by Step Solution

1. Step 1: Write the proportion equation
   22,806 : 49,256 = 49,256 : x
2. Step 2: Convert to fraction form
   22,806/49,256 = 49,256/x
3. Step 3: Cross multiply
   22,806x = 49,256 × 49,256
4. Step 4: Simplify right side
   22,806x = 2,426,153,536
5. Step 5: Solve for x
   x = 2,426,153,536/22,806
6. Step 6: Final answer
   x = 106,382.25