Finding the Third Proportional to 25,576 and 55,648

Step by Step Solution

1. Step 1: Write the proportion equation
   25,576 : 55,648 = 55,648 : x
2. Step 2: Convert to fraction form
   25,576/55,648 = 55,648/x
3. Step 3: Cross multiply
   25,576x = 55,648 × 55,648
4. Step 4: Simplify right side
   25,576x = 3,096,699,904
5. Step 5: Solve for x
   x = 3,096,699,904/25,576
6. Step 6: Final answer
   x = 121,078.35