Finding the Third Proportional to 20,224 and 30,180

Step by Step Solution

1. Step 1: Write the proportion equation
   20,224 : 30,180 = 30,180 : x
2. Step 2: Convert to fraction form
   20,224/30,180 = 30,180/x
3. Step 3: Cross multiply
   20,224x = 30,180 × 30,180
4. Step 4: Simplify right side
   20,224x = 910,832,400
5. Step 5: Solve for x
   x = 910,832,400/20,224
6. Step 6: Final answer
   x = 45,037.20