Finding the Third Proportional to 11,172 and 17,284

Step by Step Solution

1. Step 1: Write the proportion equation
   11,172 : 17,284 = 17,284 : x
2. Step 2: Convert to fraction form
   11,172/17,284 = 17,284/x
3. Step 3: Cross multiply
   11,172x = 17,284 × 17,284
4. Step 4: Simplify right side
   11,172x = 298,736,656
5. Step 5: Solve for x
   x = 298,736,656/11,172
6. Step 6: Final answer
   x = 26,739.77