Finding the Third Proportional to 12,626 and 19,659

Step by Step Solution

1. Step 1: Write the proportion equation
   12,626 : 19,659 = 19,659 : x
2. Step 2: Convert to fraction form
   12,626/19,659 = 19,659/x
3. Step 3: Cross multiply
   12,626x = 19,659 × 19,659
4. Step 4: Simplify right side
   12,626x = 386,476,281
5. Step 5: Solve for x
   x = 386,476,281/12,626
6. Step 6: Final answer
   x = 30,609.56