Finding the Third Proportional to 23,086 and 33,014

Step by Step Solution

1. Step 1: Write the proportion equation
   23,086 : 33,014 = 33,014 : x
2. Step 2: Convert to fraction form
   23,086/33,014 = 33,014/x
3. Step 3: Cross multiply
   23,086x = 33,014 × 33,014
4. Step 4: Simplify right side
   23,086x = 1,089,924,196
5. Step 5: Solve for x
   x = 1,089,924,196/23,086
6. Step 6: Final answer
   x = 47,211.48