Finding the Third Proportional to 23,264 and 50,464

Step by Step Solution

1. Step 1: Write the proportion equation
   23,264 : 50,464 = 50,464 : x
2. Step 2: Convert to fraction form
   23,264/50,464 = 50,464/x
3. Step 3: Cross multiply
   23,264x = 50,464 × 50,464
4. Step 4: Simplify right side
   23,264x = 2,546,615,296
5. Step 5: Solve for x
   x = 2,546,615,296/23,264
6. Step 6: Final answer
   x = 109,465.93