Finding the Third Proportional to 23,116 and 33,851

Step by Step Solution

1. Step 1: Write the proportion equation
   23,116 : 33,851 = 33,851 : x
2. Step 2: Convert to fraction form
   23,116/33,851 = 33,851/x
3. Step 3: Cross multiply
   23,116x = 33,851 × 33,851
4. Step 4: Simplify right side
   23,116x = 1,145,890,201
5. Step 5: Solve for x
   x = 1,145,890,201/23,116
6. Step 6: Final answer
   x = 49,571.30