Finding the Third Proportional to 23,770 and 50,257

Step by Step Solution

1. Step 1: Write the proportion equation
   23,770 : 50,257 = 50,257 : x
2. Step 2: Convert to fraction form
   23,770/50,257 = 50,257/x
3. Step 3: Cross multiply
   23,770x = 50,257 × 50,257
4. Step 4: Simplify right side
   23,770x = 2,525,766,049
5. Step 5: Solve for x
   x = 2,525,766,049/23,770
6. Step 6: Final answer
   x = 106,258.56