Finding the Third Proportional to 15,589 and 33,820

Step by Step Solution

1. Step 1: Write the proportion equation
   15,589 : 33,820 = 33,820 : x
2. Step 2: Convert to fraction form
   15,589/33,820 = 33,820/x
3. Step 3: Cross multiply
   15,589x = 33,820 × 33,820
4. Step 4: Simplify right side
   15,589x = 1,143,792,400
5. Step 5: Solve for x
   x = 1,143,792,400/15,589
6. Step 6: Final answer
   x = 73,371.76