Finding the Third Proportional to 6,906 and 10,377

Step by Step Solution

1. Step 1: Write the proportion equation
   6,906 : 10,377 = 10,377 : x
2. Step 2: Convert to fraction form
   6,906/10,377 = 10,377/x
3. Step 3: Cross multiply
   6,906x = 10,377 × 10,377
4. Step 4: Simplify right side
   6,906x = 107,682,129
5. Step 5: Solve for x
   x = 107,682,129/6,906
6. Step 6: Final answer
   x = 15,592.55