Finding the Third Proportional to 20,189 and 30,648

Step by Step Solution

1. Step 1: Write the proportion equation
   20,189 : 30,648 = 30,648 : x
2. Step 2: Convert to fraction form
   20,189/30,648 = 30,648/x
3. Step 3: Cross multiply
   20,189x = 30,648 × 30,648
4. Step 4: Simplify right side
   20,189x = 939,299,904
5. Step 5: Solve for x
   x = 939,299,904/20,189
6. Step 6: Final answer
   x = 46,525.33