Finding the Third Proportional to 32,589 and 70,524

Step by Step Solution

1. Step 1: Write the proportion equation
   32,589 : 70,524 = 70,524 : x
2. Step 2: Convert to fraction form
   32,589/70,524 = 70,524/x
3. Step 3: Cross multiply
   32,589x = 70,524 × 70,524
4. Step 4: Simplify right side
   32,589x = 4,973,634,576
5. Step 5: Solve for x
   x = 4,973,634,576/32,589
6. Step 6: Final answer
   x = 152,616.97