Finding the Third Proportional to 11,569.50 and 17,327.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,569.50 : 17,327.25 = 17,327.25 : x
2. Step 2: Convert to fraction form
   11,569.50/17,327.25 = 17,327.25/x
3. Step 3: Cross multiply
   11,569.50x = 17,327.25 × 17,327.25
4. Step 4: Simplify right side
   11,569.50x = 300,233,592.56
5. Step 5: Solve for x
   x = 300,233,592.56/11,569.50
6. Step 6: Final answer
   x = 25,950.44