Finding the Third Proportional to 20,180 and 30,846

Step by Step Solution

1. Step 1: Write the proportion equation
   20,180 : 30,846 = 30,846 : x
2. Step 2: Convert to fraction form
   20,180/30,846 = 30,846/x
3. Step 3: Cross multiply
   20,180x = 30,846 × 30,846
4. Step 4: Simplify right side
   20,180x = 951,475,716
5. Step 5: Solve for x
   x = 951,475,716/20,180
6. Step 6: Final answer
   x = 47,149.44