Finding the Third Proportional to 6,788 and 10,382

Step by Step Solution

1. Step 1: Write the proportion equation
   6,788 : 10,382 = 10,382 : x
2. Step 2: Convert to fraction form
   6,788/10,382 = 10,382/x
3. Step 3: Cross multiply
   6,788x = 10,382 × 10,382
4. Step 4: Simplify right side
   6,788x = 107,785,924
5. Step 5: Solve for x
   x = 107,785,924/6,788
6. Step 6: Final answer
   x = 15,878.89