Finding the Third Proportional to 25,652 and 55,678

Step by Step Solution

1. Step 1: Write the proportion equation
   25,652 : 55,678 = 55,678 : x
2. Step 2: Convert to fraction form
   25,652/55,678 = 55,678/x
3. Step 3: Cross multiply
   25,652x = 55,678 × 55,678
4. Step 4: Simplify right side
   25,652x = 3,100,039,684
5. Step 5: Solve for x
   x = 3,100,039,684/25,652
6. Step 6: Final answer
   x = 120,849.82