Finding the Third Proportional to 25,779 and 55,765

Step by Step Solution

1. Step 1: Write the proportion equation
   25,779 : 55,765 = 55,765 : x
2. Step 2: Convert to fraction form
   25,779/55,765 = 55,765/x
3. Step 3: Cross multiply
   25,779x = 55,765 × 55,765
4. Step 4: Simplify right side
   25,779x = 3,109,735,225
5. Step 5: Solve for x
   x = 3,109,735,225/25,779
6. Step 6: Final answer
   x = 120,630.56