Finding the Third Proportional to 9,096 and 16,302

Step by Step Solution

1. Step 1: Write the proportion equation
   9,096 : 16,302 = 16,302 : x
2. Step 2: Convert to fraction form
   9,096/16,302 = 16,302/x
3. Step 3: Cross multiply
   9,096x = 16,302 × 16,302
4. Step 4: Simplify right side
   9,096x = 265,755,204
5. Step 5: Solve for x
   x = 265,755,204/9,096
6. Step 6: Final answer
   x = 29,216.71