Finding the Third Proportional to 6,178 and 10,868

Step by Step Solution

1. Step 1: Write the proportion equation
   6,178 : 10,868 = 10,868 : x
2. Step 2: Convert to fraction form
   6,178/10,868 = 10,868/x
3. Step 3: Cross multiply
   6,178x = 10,868 × 10,868
4. Step 4: Simplify right side
   6,178x = 118,113,424
5. Step 5: Solve for x
   x = 118,113,424/6,178
6. Step 6: Final answer
   x = 19,118.39