Finding the Third Proportional to 10,746 and 17,199

Step by Step Solution

1. Step 1: Write the proportion equation
   10,746 : 17,199 = 17,199 : x
2. Step 2: Convert to fraction form
   10,746/17,199 = 17,199/x
3. Step 3: Cross multiply
   10,746x = 17,199 × 17,199
4. Step 4: Simplify right side
   10,746x = 295,805,601
5. Step 5: Solve for x
   x = 295,805,601/10,746
6. Step 6: Final answer
   x = 27,527.04