Finding the Third Proportional to 12,588.38 and 17,646.38

Step by Step Solution

1. Step 1: Write the proportion equation
   12,588.38 : 17,646.38 = 17,646.38 : x
2. Step 2: Convert to fraction form
   12,588.38/17,646.38 = 17,646.38/x
3. Step 3: Cross multiply
   12,588.38x = 17,646.38 × 17,646.38
4. Step 4: Simplify right side
   12,588.38x = 311,394,550.64
5. Step 5: Solve for x
   x = 311,394,550.64/12,588.38
6. Step 6: Final answer
   x = 24,736.68