Finding the Third Proportional to 30,570 and 42,984

Step by Step Solution

1. Step 1: Write the proportion equation
   30,570 : 42,984 = 42,984 : x
2. Step 2: Convert to fraction form
   30,570/42,984 = 42,984/x
3. Step 3: Cross multiply
   30,570x = 42,984 × 42,984
4. Step 4: Simplify right side
   30,570x = 1,847,624,256
5. Step 5: Solve for x
   x = 1,847,624,256/30,570
6. Step 6: Final answer
   x = 60,439.13