Finding the Third Proportional to 11,785.50 and 15,491.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,785.50 : 15,491.25 = 15,491.25 : x
2. Step 2: Convert to fraction form
   11,785.50/15,491.25 = 15,491.25/x
3. Step 3: Cross multiply
   11,785.50x = 15,491.25 × 15,491.25
4. Step 4: Simplify right side
   11,785.50x = 239,978,826.56
5. Step 5: Solve for x
   x = 239,978,826.56/11,785.50
6. Step 6: Final answer
   x = 20,362.21