Finding the Third Proportional to 25,586 and 56,036

Step by Step Solution

1. Step 1: Write the proportion equation
   25,586 : 56,036 = 56,036 : x
2. Step 2: Convert to fraction form
   25,586/56,036 = 56,036/x
3. Step 3: Cross multiply
   25,586x = 56,036 × 56,036
4. Step 4: Simplify right side
   25,586x = 3,140,033,296
5. Step 5: Solve for x
   x = 3,140,033,296/25,586
6. Step 6: Final answer
   x = 122,724.67