Finding the Third Proportional to 23,082 and 33,008

Step by Step Solution

1. Step 1: Write the proportion equation
   23,082 : 33,008 = 33,008 : x
2. Step 2: Convert to fraction form
   23,082/33,008 = 33,008/x
3. Step 3: Cross multiply
   23,082x = 33,008 × 33,008
4. Step 4: Simplify right side
   23,082x = 1,089,528,064
5. Step 5: Solve for x
   x = 1,089,528,064/23,082
6. Step 6: Final answer
   x = 47,202.50