Finding the Third Proportional to 25,686 and 55,584

Step by Step Solution

1. Step 1: Write the proportion equation
   25,686 : 55,584 = 55,584 : x
2. Step 2: Convert to fraction form
   25,686/55,584 = 55,584/x
3. Step 3: Cross multiply
   25,686x = 55,584 × 55,584
4. Step 4: Simplify right side
   25,686x = 3,089,581,056
5. Step 5: Solve for x
   x = 3,089,581,056/25,686
6. Step 6: Final answer
   x = 120,282.69