Finding the Third Proportional to 16,277 and 33,005

Step by Step Solution

1. Step 1: Write the proportion equation
   16,277 : 33,005 = 33,005 : x
2. Step 2: Convert to fraction form
   16,277/33,005 = 33,005/x
3. Step 3: Cross multiply
   16,277x = 33,005 × 33,005
4. Step 4: Simplify right side
   16,277x = 1,089,330,025
5. Step 5: Solve for x
   x = 1,089,330,025/16,277
6. Step 6: Final answer
   x = 66,924.50