Finding the Third Proportional to 23,098 and 49,884

Step by Step Solution

1. Step 1: Write the proportion equation
   23,098 : 49,884 = 49,884 : x
2. Step 2: Convert to fraction form
   23,098/49,884 = 49,884/x
3. Step 3: Cross multiply
   23,098x = 49,884 × 49,884
4. Step 4: Simplify right side
   23,098x = 2,488,413,456
5. Step 5: Solve for x
   x = 2,488,413,456/23,098
6. Step 6: Final answer
   x = 107,732.85