Finding the Third Proportional to 11,788.50 and 17,226.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,788.50 : 17,226.75 = 17,226.75 : x
2. Step 2: Convert to fraction form
   11,788.50/17,226.75 = 17,226.75/x
3. Step 3: Cross multiply
   11,788.50x = 17,226.75 × 17,226.75
4. Step 4: Simplify right side
   11,788.50x = 296,760,915.56
5. Step 5: Solve for x
   x = 296,760,915.56/11,788.50
6. Step 6: Final answer
   x = 25,173.76