Finding the Third Proportional to 9,114 and 16,806

Step by Step Solution

1. Step 1: Write the proportion equation
   9,114 : 16,806 = 16,806 : x
2. Step 2: Convert to fraction form
   9,114/16,806 = 16,806/x
3. Step 3: Cross multiply
   9,114x = 16,806 × 16,806
4. Step 4: Simplify right side
   9,114x = 282,441,636
5. Step 5: Solve for x
   x = 282,441,636/9,114
6. Step 6: Final answer
   x = 30,989.87