Finding the Third Proportional to 21,584 and 32,824

Step by Step Solution

1. Step 1: Write the proportion equation
   21,584 : 32,824 = 32,824 : x
2. Step 2: Convert to fraction form
   21,584/32,824 = 32,824/x
3. Step 3: Cross multiply
   21,584x = 32,824 × 32,824
4. Step 4: Simplify right side
   21,584x = 1,077,414,976
5. Step 5: Solve for x
   x = 1,077,414,976/21,584
6. Step 6: Final answer
   x = 49,917.30