Finding the Third Proportional to 11,205 and 17,416

Step by Step Solution

1. Step 1: Write the proportion equation
   11,205 : 17,416 = 17,416 : x
2. Step 2: Convert to fraction form
   11,205/17,416 = 17,416/x
3. Step 3: Cross multiply
   11,205x = 17,416 × 17,416
4. Step 4: Simplify right side
   11,205x = 303,317,056
5. Step 5: Solve for x
   x = 303,317,056/11,205
6. Step 6: Final answer
   x = 27,069.80