Finding the Third Proportional to 11,866.50 and 19,581.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,866.50 : 19,581.75 = 19,581.75 : x
2. Step 2: Convert to fraction form
   11,866.50/19,581.75 = 19,581.75/x
3. Step 3: Cross multiply
   11,866.50x = 19,581.75 × 19,581.75
4. Step 4: Simplify right side
   11,866.50x = 383,444,933.06
5. Step 5: Solve for x
   x = 383,444,933.06/11,866.50
6. Step 6: Final answer
   x = 32,313.23