Finding the Third Proportional to 11,509.50 and 17,823

Step by Step Solution

1. Step 1: Write the proportion equation
   11,509.50 : 17,823 = 17,823 : x
2. Step 2: Convert to fraction form
   11,509.50/17,823 = 17,823/x
3. Step 3: Cross multiply
   11,509.50x = 17,823 × 17,823
4. Step 4: Simplify right side
   11,509.50x = 317,659,329
5. Step 5: Solve for x
   x = 317,659,329/11,509.50
6. Step 6: Final answer
   x = 27,599.75