Finding the Third Proportional to 12,665 and 19,659

Step by Step Solution

1. Step 1: Write the proportion equation
   12,665 : 19,659 = 19,659 : x
2. Step 2: Convert to fraction form
   12,665/19,659 = 19,659/x
3. Step 3: Cross multiply
   12,665x = 19,659 × 19,659
4. Step 4: Simplify right side
   12,665x = 386,476,281
5. Step 5: Solve for x
   x = 386,476,281/12,665
6. Step 6: Final answer
   x = 30,515.30