Finding the Third Proportional to 6,780 and 10,658

Step by Step Solution

1. Step 1: Write the proportion equation
   6,780 : 10,658 = 10,658 : x
2. Step 2: Convert to fraction form
   6,780/10,658 = 10,658/x
3. Step 3: Cross multiply
   6,780x = 10,658 × 10,658
4. Step 4: Simplify right side
   6,780x = 113,592,964
5. Step 5: Solve for x
   x = 113,592,964/6,780
6. Step 6: Final answer
   x = 16,754.12