Finding the Third Proportional to 25,456 and 55,286

Step by Step Solution

1. Step 1: Write the proportion equation
   25,456 : 55,286 = 55,286 : x
2. Step 2: Convert to fraction form
   25,456/55,286 = 55,286/x
3. Step 3: Cross multiply
   25,456x = 55,286 × 55,286
4. Step 4: Simplify right side
   25,456x = 3,056,541,796
5. Step 5: Solve for x
   x = 3,056,541,796/25,456
6. Step 6: Final answer
   x = 120,071.57