Finding the Third Proportional to 11,509 and 17,603

Step by Step Solution

1. Step 1: Write the proportion equation
   11,509 : 17,603 = 17,603 : x
2. Step 2: Convert to fraction form
   11,509/17,603 = 17,603/x
3. Step 3: Cross multiply
   11,509x = 17,603 × 17,603
4. Step 4: Simplify right side
   11,509x = 309,865,609
5. Step 5: Solve for x
   x = 309,865,609/11,509
6. Step 6: Final answer
   x = 26,923.76