Finding the Third Proportional to 25,820 and 56,556

Step by Step Solution

1. Step 1: Write the proportion equation
   25,820 : 56,556 = 56,556 : x
2. Step 2: Convert to fraction form
   25,820/56,556 = 56,556/x
3. Step 3: Cross multiply
   25,820x = 56,556 × 56,556
4. Step 4: Simplify right side
   25,820x = 3,198,581,136
5. Step 5: Solve for x
   x = 3,198,581,136/25,820
6. Step 6: Final answer
   x = 123,879.98