Finding the Third Proportional to 6,178 and 13,093

Step by Step Solution

1. Step 1: Write the proportion equation
   6,178 : 13,093 = 13,093 : x
2. Step 2: Convert to fraction form
   6,178/13,093 = 13,093/x
3. Step 3: Cross multiply
   6,178x = 13,093 × 13,093
4. Step 4: Simplify right side
   6,178x = 171,426,649
5. Step 5: Solve for x
   x = 171,426,649/6,178
6. Step 6: Final answer
   x = 27,747.92