Finding the Third Proportional to 23,096 and 34,852

Step by Step Solution

1. Step 1: Write the proportion equation
   23,096 : 34,852 = 34,852 : x
2. Step 2: Convert to fraction form
   23,096/34,852 = 34,852/x
3. Step 3: Cross multiply
   23,096x = 34,852 × 34,852
4. Step 4: Simplify right side
   23,096x = 1,214,661,904
5. Step 5: Solve for x
   x = 1,214,661,904/23,096
6. Step 6: Final answer
   x = 52,591.87