Finding the Third Proportional to 11,711.25 and 17,178.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,711.25 : 17,178.75 = 17,178.75 : x
2. Step 2: Convert to fraction form
   11,711.25/17,178.75 = 17,178.75/x
3. Step 3: Cross multiply
   11,711.25x = 17,178.75 × 17,178.75
4. Step 4: Simplify right side
   11,711.25x = 295,109,451.56
5. Step 5: Solve for x
   x = 295,109,451.56/11,711.25
6. Step 6: Final answer
   x = 25,198.80