Finding the Third Proportional to 20,122 and 30,380

Step by Step Solution

1. Step 1: Write the proportion equation
   20,122 : 30,380 = 30,380 : x
2. Step 2: Convert to fraction form
   20,122/30,380 = 30,380/x
3. Step 3: Cross multiply
   20,122x = 30,380 × 30,380
4. Step 4: Simplify right side
   20,122x = 922,944,400
5. Step 5: Solve for x
   x = 922,944,400/20,122
6. Step 6: Final answer
   x = 45,867.43