Finding the Third Proportional to 6,683 and 10,916

Step by Step Solution

1. Step 1: Write the proportion equation
   6,683 : 10,916 = 10,916 : x
2. Step 2: Convert to fraction form
   6,683/10,916 = 10,916/x
3. Step 3: Cross multiply
   6,683x = 10,916 × 10,916
4. Step 4: Simplify right side
   6,683x = 119,159,056
5. Step 5: Solve for x
   x = 119,159,056/6,683
6. Step 6: Final answer
   x = 17,830.17