Finding the Third Proportional to 12,020 and 25,678

Step by Step Solution

1. Step 1: Write the proportion equation
   12,020 : 25,678 = 25,678 : x
2. Step 2: Convert to fraction form
   12,020/25,678 = 25,678/x
3. Step 3: Cross multiply
   12,020x = 25,678 × 25,678
4. Step 4: Simplify right side
   12,020x = 659,359,684
5. Step 5: Solve for x
   x = 659,359,684/12,020
6. Step 6: Final answer
   x = 54,855.21