Finding the Third Proportional to 22,492 and 49,286

Step by Step Solution

1. Step 1: Write the proportion equation
   22,492 : 49,286 = 49,286 : x
2. Step 2: Convert to fraction form
   22,492/49,286 = 49,286/x
3. Step 3: Cross multiply
   22,492x = 49,286 × 49,286
4. Step 4: Simplify right side
   22,492x = 2,429,109,796
5. Step 5: Solve for x
   x = 2,429,109,796/22,492
6. Step 6: Final answer
   x = 107,998.83