Finding the Third Proportional to 19,766 and 30,743

Step by Step Solution

1. Step 1: Write the proportion equation
   19,766 : 30,743 = 30,743 : x
2. Step 2: Convert to fraction form
   19,766/30,743 = 30,743/x
3. Step 3: Cross multiply
   19,766x = 30,743 × 30,743
4. Step 4: Simplify right side
   19,766x = 945,132,049
5. Step 5: Solve for x
   x = 945,132,049/19,766
6. Step 6: Final answer
   x = 47,816.05