Finding the Third Proportional to 25,577 and 55,447

Step by Step Solution

1. Step 1: Write the proportion equation
   25,577 : 55,447 = 55,447 : x
2. Step 2: Convert to fraction form
   25,577/55,447 = 55,447/x
3. Step 3: Cross multiply
   25,577x = 55,447 × 55,447
4. Step 4: Simplify right side
   25,577x = 3,074,369,809
5. Step 5: Solve for x
   x = 3,074,369,809/25,577
6. Step 6: Final answer
   x = 120,200.56