Finding the Third Proportional to 23,780 and 50,212

Step by Step Solution

1. Step 1: Write the proportion equation
   23,780 : 50,212 = 50,212 : x
2. Step 2: Convert to fraction form
   23,780/50,212 = 50,212/x
3. Step 3: Cross multiply
   23,780x = 50,212 × 50,212
4. Step 4: Simplify right side
   23,780x = 2,521,244,944
5. Step 5: Solve for x
   x = 2,521,244,944/23,780
6. Step 6: Final answer
   x = 106,023.76