Finding the Third Proportional to 6,830 and 10,894

Step by Step Solution

1. Step 1: Write the proportion equation
   6,830 : 10,894 = 10,894 : x
2. Step 2: Convert to fraction form
   6,830/10,894 = 10,894/x
3. Step 3: Cross multiply
   6,830x = 10,894 × 10,894
4. Step 4: Simplify right side
   6,830x = 118,679,236
5. Step 5: Solve for x
   x = 118,679,236/6,830
6. Step 6: Final answer
   x = 17,376.17