Finding the Third Proportional to 23,204 and 49,688

Step by Step Solution

1. Step 1: Write the proportion equation
   23,204 : 49,688 = 49,688 : x
2. Step 2: Convert to fraction form
   23,204/49,688 = 49,688/x
3. Step 3: Cross multiply
   23,204x = 49,688 × 49,688
4. Step 4: Simplify right side
   23,204x = 2,468,897,344
5. Step 5: Solve for x
   x = 2,468,897,344/23,204
6. Step 6: Final answer
   x = 106,399.64