Finding the Third Proportional to 32,584 and 50,824

Step by Step Solution

1. Step 1: Write the proportion equation
   32,584 : 50,824 = 50,824 : x
2. Step 2: Convert to fraction form
   32,584/50,824 = 50,824/x
3. Step 3: Cross multiply
   32,584x = 50,824 × 50,824
4. Step 4: Simplify right side
   32,584x = 2,583,078,976
5. Step 5: Solve for x
   x = 2,583,078,976/32,584
6. Step 6: Final answer
   x = 79,274.46