Finding the Third Proportional to 11,510 and 17,823

Step by Step Solution

1. Step 1: Write the proportion equation
   11,510 : 17,823 = 17,823 : x
2. Step 2: Convert to fraction form
   11,510/17,823 = 17,823/x
3. Step 3: Cross multiply
   11,510x = 17,823 × 17,823
4. Step 4: Simplify right side
   11,510x = 317,659,329
5. Step 5: Solve for x
   x = 317,659,329/11,510
6. Step 6: Final answer
   x = 27,598.55