Finding the Third Proportional to 12,706 and 17,628

Step by Step Solution

1. Step 1: Write the proportion equation
   12,706 : 17,628 = 17,628 : x
2. Step 2: Convert to fraction form
   12,706/17,628 = 17,628/x
3. Step 3: Cross multiply
   12,706x = 17,628 × 17,628
4. Step 4: Simplify right side
   12,706x = 310,746,384
5. Step 5: Solve for x
   x = 310,746,384/12,706
6. Step 6: Final answer
   x = 24,456.66