Finding the Third Proportional to 12,658.50 and 18,578.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,658.50 : 18,578.25 = 18,578.25 : x
2. Step 2: Convert to fraction form
   12,658.50/18,578.25 = 18,578.25/x
3. Step 3: Cross multiply
   12,658.50x = 18,578.25 × 18,578.25
4. Step 4: Simplify right side
   12,658.50x = 345,151,373.06
5. Step 5: Solve for x
   x = 345,151,373.06/12,658.50
6. Step 6: Final answer
   x = 27,266.37