Finding the Third Proportional to 23,208 and 49,696

Step by Step Solution

1. Step 1: Write the proportion equation
   23,208 : 49,696 = 49,696 : x
2. Step 2: Convert to fraction form
   23,208/49,696 = 49,696/x
3. Step 3: Cross multiply
   23,208x = 49,696 × 49,696
4. Step 4: Simplify right side
   23,208x = 2,469,692,416
5. Step 5: Solve for x
   x = 2,469,692,416/23,208
6. Step 6: Final answer
   x = 106,415.56