Finding the Third Proportional to 11,546 and 17,907

Step by Step Solution

1. Step 1: Write the proportion equation
   11,546 : 17,907 = 17,907 : x
2. Step 2: Convert to fraction form
   11,546/17,907 = 17,907/x
3. Step 3: Cross multiply
   11,546x = 17,907 × 17,907
4. Step 4: Simplify right side
   11,546x = 320,660,649
5. Step 5: Solve for x
   x = 320,660,649/11,546
6. Step 6: Final answer
   x = 27,772.44