Finding the Third Proportional to 5,678 and 12,412

Step by Step Solution

1. Step 1: Write the proportion equation
   5,678 : 12,412 = 12,412 : x
2. Step 2: Convert to fraction form
   5,678/12,412 = 12,412/x
3. Step 3: Cross multiply
   5,678x = 12,412 × 12,412
4. Step 4: Simplify right side
   5,678x = 154,057,744
5. Step 5: Solve for x
   x = 154,057,744/5,678
6. Step 6: Final answer
   x = 27,132.40