Finding the Third Proportional to 25,296 and 53,256

Step by Step Solution

1. Step 1: Write the proportion equation
   25,296 : 53,256 = 53,256 : x
2. Step 2: Convert to fraction form
   25,296/53,256 = 53,256/x
3. Step 3: Cross multiply
   25,296x = 53,256 × 53,256
4. Step 4: Simplify right side
   25,296x = 2,836,201,536
5. Step 5: Solve for x
   x = 2,836,201,536/25,296
6. Step 6: Final answer
   x = 112,120.55