Finding the Third Proportional to 25,770 and 55,752

Step by Step Solution

1. Step 1: Write the proportion equation
   25,770 : 55,752 = 55,752 : x
2. Step 2: Convert to fraction form
   25,770/55,752 = 55,752/x
3. Step 3: Cross multiply
   25,770x = 55,752 × 55,752
4. Step 4: Simplify right side
   25,770x = 3,108,285,504
5. Step 5: Solve for x
   x = 3,108,285,504/25,770
6. Step 6: Final answer
   x = 120,616.43