Finding the Third Proportional to 19,728 and 30,588

Step by Step Solution

1. Step 1: Write the proportion equation
   19,728 : 30,588 = 30,588 : x
2. Step 2: Convert to fraction form
   19,728/30,588 = 30,588/x
3. Step 3: Cross multiply
   19,728x = 30,588 × 30,588
4. Step 4: Simplify right side
   19,728x = 935,625,744
5. Step 5: Solve for x
   x = 935,625,744/19,728
6. Step 6: Final answer
   x = 47,426.28