Finding the Third Proportional to 23,084 and 33,009

Step by Step Solution

1. Step 1: Write the proportion equation
   23,084 : 33,009 = 33,009 : x
2. Step 2: Convert to fraction form
   23,084/33,009 = 33,009/x
3. Step 3: Cross multiply
   23,084x = 33,009 × 33,009
4. Step 4: Simplify right side
   23,084x = 1,089,594,081
5. Step 5: Solve for x
   x = 1,089,594,081/23,084
6. Step 6: Final answer
   x = 47,201.27