Finding the Third Proportional to 11,500 and 17,826

Step by Step Solution

1. Step 1: Write the proportion equation
   11,500 : 17,826 = 17,826 : x
2. Step 2: Convert to fraction form
   11,500/17,826 = 17,826/x
3. Step 3: Cross multiply
   11,500x = 17,826 × 17,826
4. Step 4: Simplify right side
   11,500x = 317,766,276
5. Step 5: Solve for x
   x = 317,766,276/11,500
6. Step 6: Final answer
   x = 27,631.85