Finding the Third Proportional to 25,256 and 53,175

Step by Step Solution

1. Step 1: Write the proportion equation
   25,256 : 53,175 = 53,175 : x
2. Step 2: Convert to fraction form
   25,256/53,175 = 53,175/x
3. Step 3: Cross multiply
   25,256x = 53,175 × 53,175
4. Step 4: Simplify right side
   25,256x = 2,827,580,625
5. Step 5: Solve for x
   x = 2,827,580,625/25,256
6. Step 6: Final answer
   x = 111,956.79