Finding the Third Proportional to 11,588.06 and 14,625.56

Step by Step Solution

1. Step 1: Write the proportion equation
   11,588.06 : 14,625.56 = 14,625.56 : x
2. Step 2: Convert to fraction form
   11,588.06/14,625.56 = 14,625.56/x
3. Step 3: Cross multiply
   11,588.06x = 14,625.56 × 14,625.56
4. Step 4: Simplify right side
   11,588.06x = 213,907,078.44
5. Step 5: Solve for x
   x = 213,907,078.44/11,588.06
6. Step 6: Final answer
   x = 18,459.26