Finding the Third Proportional to 23,344 and 34,016

Step by Step Solution

1. Step 1: Write the proportion equation
   23,344 : 34,016 = 34,016 : x
2. Step 2: Convert to fraction form
   23,344/34,016 = 34,016/x
3. Step 3: Cross multiply
   23,344x = 34,016 × 34,016
4. Step 4: Simplify right side
   23,344x = 1,157,088,256
5. Step 5: Solve for x
   x = 1,157,088,256/23,344
6. Step 6: Final answer
   x = 49,566.84