Finding the Third Proportional to 25,779 and 56,539

Step by Step Solution

1. Step 1: Write the proportion equation
   25,779 : 56,539 = 56,539 : x
2. Step 2: Convert to fraction form
   25,779/56,539 = 56,539/x
3. Step 3: Cross multiply
   25,779x = 56,539 × 56,539
4. Step 4: Simplify right side
   25,779x = 3,196,658,521
5. Step 5: Solve for x
   x = 3,196,658,521/25,779
6. Step 6: Final answer
   x = 124,002.43