Finding the Third Proportional to 1,886 and 5,105

Step by Step Solution

1. Step 1: Write the proportion equation
   1,886 : 5,105 = 5,105 : x
2. Step 2: Convert to fraction form
   1,886/5,105 = 5,105/x
3. Step 3: Cross multiply
   1,886x = 5,105 × 5,105
4. Step 4: Simplify right side
   1,886x = 26,061,025
5. Step 5: Solve for x
   x = 26,061,025/1,886
6. Step 6: Final answer
   x = 13,818.15