Finding the Third Proportional to 12,866 and 17,377

Step by Step Solution

1. Step 1: Write the proportion equation
   12,866 : 17,377 = 17,377 : x
2. Step 2: Convert to fraction form
   12,866/17,377 = 17,377/x
3. Step 3: Cross multiply
   12,866x = 17,377 × 17,377
4. Step 4: Simplify right side
   12,866x = 301,960,129
5. Step 5: Solve for x
   x = 301,960,129/12,866
6. Step 6: Final answer
   x = 23,469.62