Finding the Third Proportional to 6,780 and 10,627

Step by Step Solution

1. Step 1: Write the proportion equation
   6,780 : 10,627 = 10,627 : x
2. Step 2: Convert to fraction form
   6,780/10,627 = 10,627/x
3. Step 3: Cross multiply
   6,780x = 10,627 × 10,627
4. Step 4: Simplify right side
   6,780x = 112,933,129
5. Step 5: Solve for x
   x = 112,933,129/6,780
6. Step 6: Final answer
   x = 16,656.80