Finding the Third Proportional to 9,096 and 16,788

Step by Step Solution

1. Step 1: Write the proportion equation
   9,096 : 16,788 = 16,788 : x
2. Step 2: Convert to fraction form
   9,096/16,788 = 16,788/x
3. Step 3: Cross multiply
   9,096x = 16,788 × 16,788
4. Step 4: Simplify right side
   9,096x = 281,836,944
5. Step 5: Solve for x
   x = 281,836,944/9,096
6. Step 6: Final answer
   x = 30,984.71