Finding the Third Proportional to 25,702 and 53,456

Step by Step Solution

1. Step 1: Write the proportion equation
   25,702 : 53,456 = 53,456 : x
2. Step 2: Convert to fraction form
   25,702/53,456 = 53,456/x
3. Step 3: Cross multiply
   25,702x = 53,456 × 53,456
4. Step 4: Simplify right side
   25,702x = 2,857,543,936
5. Step 5: Solve for x
   x = 2,857,543,936/25,702
6. Step 6: Final answer
   x = 111,179.83