Finding the Third Proportional to 5,886 and 10,489.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,886 : 10,489.50 = 10,489.50 : x
2. Step 2: Convert to fraction form
   5,886/10,489.50 = 10,489.50/x
3. Step 3: Cross multiply
   5,886x = 10,489.50 × 10,489.50
4. Step 4: Simplify right side
   5,886x = 110,029,610.25
5. Step 5: Solve for x
   x = 110,029,610.25/5,886
6. Step 6: Final answer
   x = 18,693.44