Finding the Third Proportional to 23,924 and 49,009

Step by Step Solution

1. Step 1: Write the proportion equation
   23,924 : 49,009 = 49,009 : x
2. Step 2: Convert to fraction form
   23,924/49,009 = 49,009/x
3. Step 3: Cross multiply
   23,924x = 49,009 × 49,009
4. Step 4: Simplify right side
   23,924x = 2,401,882,081
5. Step 5: Solve for x
   x = 2,401,882,081/23,924
6. Step 6: Final answer
   x = 100,396.34