Finding the Third Proportional to 23,824 and 52,256

Step by Step Solution

1. Step 1: Write the proportion equation
   23,824 : 52,256 = 52,256 : x
2. Step 2: Convert to fraction form
   23,824/52,256 = 52,256/x
3. Step 3: Cross multiply
   23,824x = 52,256 × 52,256
4. Step 4: Simplify right side
   23,824x = 2,730,689,536
5. Step 5: Solve for x
   x = 2,730,689,536/23,824
6. Step 6: Final answer
   x = 114,619.27