Finding the Third Proportional to 9,796 and 16,350

Step by Step Solution

1. Step 1: Write the proportion equation
   9,796 : 16,350 = 16,350 : x
2. Step 2: Convert to fraction form
   9,796/16,350 = 16,350/x
3. Step 3: Cross multiply
   9,796x = 16,350 × 16,350
4. Step 4: Simplify right side
   9,796x = 267,322,500
5. Step 5: Solve for x
   x = 267,322,500/9,796
6. Step 6: Final answer
   x = 27,288.94