Finding the Third Proportional to 11,826 and 19,709.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,826 : 19,709.25 = 19,709.25 : x
2. Step 2: Convert to fraction form
   11,826/19,709.25 = 19,709.25/x
3. Step 3: Cross multiply
   11,826x = 19,709.25 × 19,709.25
4. Step 4: Simplify right side
   11,826x = 388,454,535.56
5. Step 5: Solve for x
   x = 388,454,535.56/11,826
6. Step 6: Final answer
   x = 32,847.50