Finding the Third Proportional to 9,434 and 16,546

Step by Step Solution

1. Step 1: Write the proportion equation
   9,434 : 16,546 = 16,546 : x
2. Step 2: Convert to fraction form
   9,434/16,546 = 16,546/x
3. Step 3: Cross multiply
   9,434x = 16,546 × 16,546
4. Step 4: Simplify right side
   9,434x = 273,770,116
5. Step 5: Solve for x
   x = 273,770,116/9,434
6. Step 6: Final answer
   x = 29,019.52