Finding the Third Proportional to 9,096 and 16,404

Step by Step Solution

1. Step 1: Write the proportion equation
   9,096 : 16,404 = 16,404 : x
2. Step 2: Convert to fraction form
   9,096/16,404 = 16,404/x
3. Step 3: Cross multiply
   9,096x = 16,404 × 16,404
4. Step 4: Simplify right side
   9,096x = 269,091,216
5. Step 5: Solve for x
   x = 269,091,216/9,096
6. Step 6: Final answer
   x = 29,583.47