Finding the Third Proportional to 20,022 and 42,984

Step by Step Solution

1. Step 1: Write the proportion equation
   20,022 : 42,984 = 42,984 : x
2. Step 2: Convert to fraction form
   20,022/42,984 = 42,984/x
3. Step 3: Cross multiply
   20,022x = 42,984 × 42,984
4. Step 4: Simplify right side
   20,022x = 1,847,624,256
5. Step 5: Solve for x
   x = 1,847,624,256/20,022
6. Step 6: Final answer
   x = 92,279.71