Finding the Third Proportional to 19,828 and 30,749

Step by Step Solution

1. Step 1: Write the proportion equation
   19,828 : 30,749 = 30,749 : x
2. Step 2: Convert to fraction form
   19,828/30,749 = 30,749/x
3. Step 3: Cross multiply
   19,828x = 30,749 × 30,749
4. Step 4: Simplify right side
   19,828x = 945,501,001
5. Step 5: Solve for x
   x = 945,501,001/19,828
6. Step 6: Final answer
   x = 47,685.14