Finding the Third Proportional to 5,886 and 12,898

Step by Step Solution

1. Step 1: Write the proportion equation
   5,886 : 12,898 = 12,898 : x
2. Step 2: Convert to fraction form
   5,886/12,898 = 12,898/x
3. Step 3: Cross multiply
   5,886x = 12,898 × 12,898
4. Step 4: Simplify right side
   5,886x = 166,358,404
5. Step 5: Solve for x
   x = 166,358,404/5,886
6. Step 6: Final answer
   x = 28,263.41