Finding the Third Proportional to 5,886 and 9,016.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,886 : 9,016.88 = 9,016.88 : x
2. Step 2: Convert to fraction form
   5,886/9,016.88 = 9,016.88/x
3. Step 3: Cross multiply
   5,886x = 9,016.88 × 9,016.88
4. Step 4: Simplify right side
   5,886x = 81,304,034.77
5. Step 5: Solve for x
   x = 81,304,034.77/5,886
6. Step 6: Final answer
   x = 13,813.12