Finding the Third Proportional to 12,100 and 17,694

Step by Step Solution

1. Step 1: Write the proportion equation
   12,100 : 17,694 = 17,694 : x
2. Step 2: Convert to fraction form
   12,100/17,694 = 17,694/x
3. Step 3: Cross multiply
   12,100x = 17,694 × 17,694
4. Step 4: Simplify right side
   12,100x = 313,077,636
5. Step 5: Solve for x
   x = 313,077,636/12,100
6. Step 6: Final answer
   x = 25,874.18