Finding the Third Proportional to 16,589 and 35,770

Step by Step Solution

1. Step 1: Write the proportion equation
   16,589 : 35,770 = 35,770 : x
2. Step 2: Convert to fraction form
   16,589/35,770 = 35,770/x
3. Step 3: Cross multiply
   16,589x = 35,770 × 35,770
4. Step 4: Simplify right side
   16,589x = 1,279,492,900
5. Step 5: Solve for x
   x = 1,279,492,900/16,589
6. Step 6: Final answer
   x = 77,129.00