Finding the Third Proportional to 22,638 and 49,168

Step by Step Solution

1. Step 1: Write the proportion equation
   22,638 : 49,168 = 49,168 : x
2. Step 2: Convert to fraction form
   22,638/49,168 = 49,168/x
3. Step 3: Cross multiply
   22,638x = 49,168 × 49,168
4. Step 4: Simplify right side
   22,638x = 2,417,492,224
5. Step 5: Solve for x
   x = 2,417,492,224/22,638
6. Step 6: Final answer
   x = 106,789.13