Finding the Third Proportional to 22,735 and 49,223

Step by Step Solution

1. Step 1: Write the proportion equation
   22,735 : 49,223 = 49,223 : x
2. Step 2: Convert to fraction form
   22,735/49,223 = 49,223/x
3. Step 3: Cross multiply
   22,735x = 49,223 × 49,223
4. Step 4: Simplify right side
   22,735x = 2,422,903,729
5. Step 5: Solve for x
   x = 2,422,903,729/22,735
6. Step 6: Final answer
   x = 106,571.53