Finding the Third Proportional to 12,744 and 30,663

Step by Step Solution

1. Step 1: Write the proportion equation
   12,744 : 30,663 = 30,663 : x
2. Step 2: Convert to fraction form
   12,744/30,663 = 30,663/x
3. Step 3: Cross multiply
   12,744x = 30,663 × 30,663
4. Step 4: Simplify right side
   12,744x = 940,219,569
5. Step 5: Solve for x
   x = 940,219,569/12,744
6. Step 6: Final answer
   x = 73,777.43