Finding the Third Proportional to 25,411 and 55,742

Step by Step Solution

1. Step 1: Write the proportion equation
   25,411 : 55,742 = 55,742 : x
2. Step 2: Convert to fraction form
   25,411/55,742 = 55,742/x
3. Step 3: Cross multiply
   25,411x = 55,742 × 55,742
4. Step 4: Simplify right side
   25,411x = 3,107,170,564
5. Step 5: Solve for x
   x = 3,107,170,564/25,411
6. Step 6: Final answer
   x = 122,276.60