Finding the Third Proportional to 10,900 and 17,894

Step by Step Solution

1. Step 1: Write the proportion equation
   10,900 : 17,894 = 17,894 : x
2. Step 2: Convert to fraction form
   10,900/17,894 = 17,894/x
3. Step 3: Cross multiply
   10,900x = 17,894 × 17,894
4. Step 4: Simplify right side
   10,900x = 320,195,236
5. Step 5: Solve for x
   x = 320,195,236/10,900
6. Step 6: Final answer
   x = 29,375.71