Finding the Third Proportional to 20,184 and 30,809

Step by Step Solution

1. Step 1: Write the proportion equation
   20,184 : 30,809 = 30,809 : x
2. Step 2: Convert to fraction form
   20,184/30,809 = 30,809/x
3. Step 3: Cross multiply
   20,184x = 30,809 × 30,809
4. Step 4: Simplify right side
   20,184x = 949,194,481
5. Step 5: Solve for x
   x = 949,194,481/20,184
6. Step 6: Final answer
   x = 47,027.07