Finding the Third Proportional to 6,938 and 10,639

Step by Step Solution

1. Step 1: Write the proportion equation
   6,938 : 10,639 = 10,639 : x
2. Step 2: Convert to fraction form
   6,938/10,639 = 10,639/x
3. Step 3: Cross multiply
   6,938x = 10,639 × 10,639
4. Step 4: Simplify right side
   6,938x = 113,188,321
5. Step 5: Solve for x
   x = 113,188,321/6,938
6. Step 6: Final answer
   x = 16,314.26