Finding the Third Proportional to 9,736 and 10,546

Step by Step Solution

1. Step 1: Write the proportion equation
   9,736 : 10,546 = 10,546 : x
2. Step 2: Convert to fraction form
   9,736/10,546 = 10,546/x
3. Step 3: Cross multiply
   9,736x = 10,546 × 10,546
4. Step 4: Simplify right side
   9,736x = 111,218,116
5. Step 5: Solve for x
   x = 111,218,116/9,736
6. Step 6: Final answer
   x = 11,423.39