Finding the Third Proportional to 20,176 and 30,840

Step by Step Solution

1. Step 1: Write the proportion equation
   20,176 : 30,840 = 30,840 : x
2. Step 2: Convert to fraction form
   20,176/30,840 = 30,840/x
3. Step 3: Cross multiply
   20,176x = 30,840 × 30,840
4. Step 4: Simplify right side
   20,176x = 951,105,600
5. Step 5: Solve for x
   x = 951,105,600/20,176
6. Step 6: Final answer
   x = 47,140.44