Finding the Third Proportional to 16,096 and 28,400

Step by Step Solution

1. Step 1: Write the proportion equation
   16,096 : 28,400 = 28,400 : x
2. Step 2: Convert to fraction form
   16,096/28,400 = 28,400/x
3. Step 3: Cross multiply
   16,096x = 28,400 × 28,400
4. Step 4: Simplify right side
   16,096x = 806,560,000
5. Step 5: Solve for x
   x = 806,560,000/16,096
6. Step 6: Final answer
   x = 50,109.34