Finding the Third Proportional to 9,200 and 10,544

Step by Step Solution

1. Step 1: Write the proportion equation
   9,200 : 10,544 = 10,544 : x
2. Step 2: Convert to fraction form
   9,200/10,544 = 10,544/x
3. Step 3: Cross multiply
   9,200x = 10,544 × 10,544
4. Step 4: Simplify right side
   9,200x = 111,175,936
5. Step 5: Solve for x
   x = 111,175,936/9,200
6. Step 6: Final answer
   x = 12,084.34