Finding the Third Proportional to 23,546 and 33,010

Step by Step Solution

1. Step 1: Write the proportion equation
   23,546 : 33,010 = 33,010 : x
2. Step 2: Convert to fraction form
   23,546/33,010 = 33,010/x
3. Step 3: Cross multiply
   23,546x = 33,010 × 33,010
4. Step 4: Simplify right side
   23,546x = 1,089,660,100
5. Step 5: Solve for x
   x = 1,089,660,100/23,546
6. Step 6: Final answer
   x = 46,277.93