Finding the Third Proportional to 25,176 and 55,140

Step by Step Solution

1. Step 1: Write the proportion equation
   25,176 : 55,140 = 55,140 : x
2. Step 2: Convert to fraction form
   25,176/55,140 = 55,140/x
3. Step 3: Cross multiply
   25,176x = 55,140 × 55,140
4. Step 4: Simplify right side
   25,176x = 3,040,419,600
5. Step 5: Solve for x
   x = 3,040,419,600/25,176
6. Step 6: Final answer
   x = 120,766.59