Finding the Third Proportional to 11,302 and 17,013

Step by Step Solution

1. Step 1: Write the proportion equation
   11,302 : 17,013 = 17,013 : x
2. Step 2: Convert to fraction form
   11,302/17,013 = 17,013/x
3. Step 3: Cross multiply
   11,302x = 17,013 × 17,013
4. Step 4: Simplify right side
   11,302x = 289,442,169
5. Step 5: Solve for x
   x = 289,442,169/11,302
6. Step 6: Final answer
   x = 25,609.82