Finding the Third Proportional to 10,584 and 24,984

Step by Step Solution

1. Step 1: Write the proportion equation
   10,584 : 24,984 = 24,984 : x
2. Step 2: Convert to fraction form
   10,584/24,984 = 24,984/x
3. Step 3: Cross multiply
   10,584x = 24,984 × 24,984
4. Step 4: Simplify right side
   10,584x = 624,200,256
5. Step 5: Solve for x
   x = 624,200,256/10,584
6. Step 6: Final answer
   x = 58,975.84