Finding the Third Proportional to 6,105 and 13,377

Step by Step Solution

1. Step 1: Write the proportion equation
   6,105 : 13,377 = 13,377 : x
2. Step 2: Convert to fraction form
   6,105/13,377 = 13,377/x
3. Step 3: Cross multiply
   6,105x = 13,377 × 13,377
4. Step 4: Simplify right side
   6,105x = 178,944,129
5. Step 5: Solve for x
   x = 178,944,129/6,105
6. Step 6: Final answer
   x = 29,311.08