Finding the Third Proportional to 30,400 and 46,016

Step by Step Solution

1. Step 1: Write the proportion equation
   30,400 : 46,016 = 46,016 : x
2. Step 2: Convert to fraction form
   30,400/46,016 = 46,016/x
3. Step 3: Cross multiply
   30,400x = 46,016 × 46,016
4. Step 4: Simplify right side
   30,400x = 2,117,472,256
5. Step 5: Solve for x
   x = 2,117,472,256/30,400
6. Step 6: Final answer
   x = 69,653.69