Finding the Third Proportional to 12,105 and 19,377

Step by Step Solution

1. Step 1: Write the proportion equation
   12,105 : 19,377 = 19,377 : x
2. Step 2: Convert to fraction form
   12,105/19,377 = 19,377/x
3. Step 3: Cross multiply
   12,105x = 19,377 × 19,377
4. Step 4: Simplify right side
   12,105x = 375,468,129
5. Step 5: Solve for x
   x = 375,468,129/12,105
6. Step 6: Final answer
   x = 31,017.61