Finding the Third Proportional to 23,049 and 50,269

Step by Step Solution

1. Step 1: Write the proportion equation
   23,049 : 50,269 = 50,269 : x
2. Step 2: Convert to fraction form
   23,049/50,269 = 50,269/x
3. Step 3: Cross multiply
   23,049x = 50,269 × 50,269
4. Step 4: Simplify right side
   23,049x = 2,526,972,361
5. Step 5: Solve for x
   x = 2,526,972,361/23,049
6. Step 6: Final answer
   x = 109,634.79