Finding the Third Proportional to 23,378 and 50,644

Step by Step Solution

1. Step 1: Write the proportion equation
   23,378 : 50,644 = 50,644 : x
2. Step 2: Convert to fraction form
   23,378/50,644 = 50,644/x
3. Step 3: Cross multiply
   23,378x = 50,644 × 50,644
4. Step 4: Simplify right side
   23,378x = 2,564,814,736
5. Step 5: Solve for x
   x = 2,564,814,736/23,378
6. Step 6: Final answer
   x = 109,710.61