Finding the Third Proportional to 12,774 and 19,729

Step by Step Solution

1. Step 1: Write the proportion equation
   12,774 : 19,729 = 19,729 : x
2. Step 2: Convert to fraction form
   12,774/19,729 = 19,729/x
3. Step 3: Cross multiply
   12,774x = 19,729 × 19,729
4. Step 4: Simplify right side
   12,774x = 389,233,441
5. Step 5: Solve for x
   x = 389,233,441/12,774
6. Step 6: Final answer
   x = 30,470.76