Finding the Third Proportional to 32,589 and 71,175

Step by Step Solution

1. Step 1: Write the proportion equation
   32,589 : 71,175 = 71,175 : x
2. Step 2: Convert to fraction form
   32,589/71,175 = 71,175/x
3. Step 3: Cross multiply
   32,589x = 71,175 × 71,175
4. Step 4: Simplify right side
   32,589x = 5,065,880,625
5. Step 5: Solve for x
   x = 5,065,880,625/32,589
6. Step 6: Final answer
   x = 155,447.56