Finding the Third Proportional to 12,300 and 27,744

Step by Step Solution

1. Step 1: Write the proportion equation
   12,300 : 27,744 = 27,744 : x
2. Step 2: Convert to fraction form
   12,300/27,744 = 27,744/x
3. Step 3: Cross multiply
   12,300x = 27,744 × 27,744
4. Step 4: Simplify right side
   12,300x = 769,729,536
5. Step 5: Solve for x
   x = 769,729,536/12,300
6. Step 6: Final answer
   x = 62,579.64