Finding the Third Proportional to 10,509.75 and 17,826.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,509.75 : 17,826.75 = 17,826.75 : x
2. Step 2: Convert to fraction form
   10,509.75/17,826.75 = 17,826.75/x
3. Step 3: Cross multiply
   10,509.75x = 17,826.75 × 17,826.75
4. Step 4: Simplify right side
   10,509.75x = 317,793,015.56
5. Step 5: Solve for x
   x = 317,793,015.56/10,509.75
6. Step 6: Final answer
   x = 30,237.92