Finding the Third Proportional to 9,874 and 16,450

Step by Step Solution

1. Step 1: Write the proportion equation
   9,874 : 16,450 = 16,450 : x
2. Step 2: Convert to fraction form
   9,874/16,450 = 16,450/x
3. Step 3: Cross multiply
   9,874x = 16,450 × 16,450
4. Step 4: Simplify right side
   9,874x = 270,602,500
5. Step 5: Solve for x
   x = 270,602,500/9,874
6. Step 6: Final answer
   x = 27,405.56