Finding the Third Proportional to 5,886.42 and 8,231.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,886.42 : 8,231.63 = 8,231.63 : x
2. Step 2: Convert to fraction form
   5,886.42/8,231.63 = 8,231.63/x
3. Step 3: Cross multiply
   5,886.42x = 8,231.63 × 8,231.63
4. Step 4: Simplify right side
   5,886.42x = 67,759,650.14
5. Step 5: Solve for x
   x = 67,759,650.14/5,886.42
6. Step 6: Final answer
   x = 11,511.18