Finding the Third Proportional to 11,584.88 and 23,579.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,584.88 : 23,579.25 = 23,579.25 : x
2. Step 2: Convert to fraction form
   11,584.88/23,579.25 = 23,579.25/x
3. Step 3: Cross multiply
   11,584.88x = 23,579.25 × 23,579.25
4. Step 4: Simplify right side
   11,584.88x = 555,981,030.56
5. Step 5: Solve for x
   x = 555,981,030.56/11,584.88
6. Step 6: Final answer
   x = 47,991.97