Finding the Third Proportional to 11,499.75 and 17,826.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,499.75 : 17,826.75 = 17,826.75 : x
2. Step 2: Convert to fraction form
   11,499.75/17,826.75 = 17,826.75/x
3. Step 3: Cross multiply
   11,499.75x = 17,826.75 × 17,826.75
4. Step 4: Simplify right side
   11,499.75x = 317,793,015.56
5. Step 5: Solve for x
   x = 317,793,015.56/11,499.75
6. Step 6: Final answer
   x = 27,634.78