Finding the Third Proportional to 23,078 and 33,002

Step by Step Solution

1. Step 1: Write the proportion equation
   23,078 : 33,002 = 33,002 : x
2. Step 2: Convert to fraction form
   23,078/33,002 = 33,002/x
3. Step 3: Cross multiply
   23,078x = 33,002 × 33,002
4. Step 4: Simplify right side
   23,078x = 1,089,132,004
5. Step 5: Solve for x
   x = 1,089,132,004/23,078
6. Step 6: Final answer
   x = 47,193.52