Finding the Third Proportional to 8,230 and 10,986

Step by Step Solution

1. Step 1: Write the proportion equation
   8,230 : 10,986 = 10,986 : x
2. Step 2: Convert to fraction form
   8,230/10,986 = 10,986/x
3. Step 3: Cross multiply
   8,230x = 10,986 × 10,986
4. Step 4: Simplify right side
   8,230x = 120,692,196
5. Step 5: Solve for x
   x = 120,692,196/8,230
6. Step 6: Final answer
   x = 14,664.91