Finding the Third Proportional to 25,732 and 55,676

Step by Step Solution

1. Step 1: Write the proportion equation
   25,732 : 55,676 = 55,676 : x
2. Step 2: Convert to fraction form
   25,732/55,676 = 55,676/x
3. Step 3: Cross multiply
   25,732x = 55,676 × 55,676
4. Step 4: Simplify right side
   25,732x = 3,099,816,976
5. Step 5: Solve for x
   x = 3,099,816,976/25,732
6. Step 6: Final answer
   x = 120,465.45