Finding the Third Proportional to 11,589.75 and 17,438.63

Step by Step Solution

1. Step 1: Write the proportion equation
   11,589.75 : 17,438.63 = 17,438.63 : x
2. Step 2: Convert to fraction form
   11,589.75/17,438.63 = 17,438.63/x
3. Step 3: Cross multiply
   11,589.75x = 17,438.63 × 17,438.63
4. Step 4: Simplify right side
   11,589.75x = 304,105,641.89
5. Step 5: Solve for x
   x = 304,105,641.89/11,589.75
6. Step 6: Final answer
   x = 26,239.19