Finding the Third Proportional to 11,509.31 and 17,772.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,509.31 : 17,772.75 = 17,772.75 : x
2. Step 2: Convert to fraction form
   11,509.31/17,772.75 = 17,772.75/x
3. Step 3: Cross multiply
   11,509.31x = 17,772.75 × 17,772.75
4. Step 4: Simplify right side
   11,509.31x = 315,870,642.56
5. Step 5: Solve for x
   x = 315,870,642.56/11,509.31
6. Step 6: Final answer
   x = 27,444.79