Finding the Third Proportional to 10,377 and 12,186

Step by Step Solution

1. Step 1: Write the proportion equation
   10,377 : 12,186 = 12,186 : x
2. Step 2: Convert to fraction form
   10,377/12,186 = 12,186/x
3. Step 3: Cross multiply
   10,377x = 12,186 × 12,186
4. Step 4: Simplify right side
   10,377x = 148,498,596
5. Step 5: Solve for x
   x = 148,498,596/10,377
6. Step 6: Final answer
   x = 14,310.36