Finding the Third Proportional to 25,644 and 55,176

Step by Step Solution

1. Step 1: Write the proportion equation
   25,644 : 55,176 = 55,176 : x
2. Step 2: Convert to fraction form
   25,644/55,176 = 55,176/x
3. Step 3: Cross multiply
   25,644x = 55,176 × 55,176
4. Step 4: Simplify right side
   25,644x = 3,044,390,976
5. Step 5: Solve for x
   x = 3,044,390,976/25,644
6. Step 6: Final answer
   x = 118,717.48