Finding the Third Proportional to 16,589 and 35,850

Step by Step Solution

1. Step 1: Write the proportion equation
   16,589 : 35,850 = 35,850 : x
2. Step 2: Convert to fraction form
   16,589/35,850 = 35,850/x
3. Step 3: Cross multiply
   16,589x = 35,850 × 35,850
4. Step 4: Simplify right side
   16,589x = 1,285,222,500
5. Step 5: Solve for x
   x = 1,285,222,500/16,589
6. Step 6: Final answer
   x = 77,474.38