Finding the Third Proportional to 16,409 and 35,997

Step by Step Solution

1. Step 1: Write the proportion equation
   16,409 : 35,997 = 35,997 : x
2. Step 2: Convert to fraction form
   16,409/35,997 = 35,997/x
3. Step 3: Cross multiply
   16,409x = 35,997 × 35,997
4. Step 4: Simplify right side
   16,409x = 1,295,784,009
5. Step 5: Solve for x
   x = 1,295,784,009/16,409
6. Step 6: Final answer
   x = 78,967.88