Finding the Third Proportional to 12,676 and 19,509

Step by Step Solution

1. Step 1: Write the proportion equation
   12,676 : 19,509 = 19,509 : x
2. Step 2: Convert to fraction form
   12,676/19,509 = 19,509/x
3. Step 3: Cross multiply
   12,676x = 19,509 × 19,509
4. Step 4: Simplify right side
   12,676x = 380,601,081
5. Step 5: Solve for x
   x = 380,601,081/12,676
6. Step 6: Final answer
   x = 30,025.33