Finding the Third Proportional to 32,589 and 43,456.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,589 : 43,456.50 = 43,456.50 : x
2. Step 2: Convert to fraction form
   32,589/43,456.50 = 43,456.50/x
3. Step 3: Cross multiply
   32,589x = 43,456.50 × 43,456.50
4. Step 4: Simplify right side
   32,589x = 1,888,467,392.25
5. Step 5: Solve for x
   x = 1,888,467,392.25/32,589
6. Step 6: Final answer
   x = 57,948.00