Finding the Third Proportional to 10,588 and 16,986

Step by Step Solution

1. Step 1: Write the proportion equation
   10,588 : 16,986 = 16,986 : x
2. Step 2: Convert to fraction form
   10,588/16,986 = 16,986/x
3. Step 3: Cross multiply
   10,588x = 16,986 × 16,986
4. Step 4: Simplify right side
   10,588x = 288,524,196
5. Step 5: Solve for x
   x = 288,524,196/10,588
6. Step 6: Final answer
   x = 27,250.11