Finding the Third Proportional to 33,840 and 54,040

Step by Step Solution

1. Step 1: Write the proportion equation
   33,840 : 54,040 = 54,040 : x
2. Step 2: Convert to fraction form
   33,840/54,040 = 54,040/x
3. Step 3: Cross multiply
   33,840x = 54,040 × 54,040
4. Step 4: Simplify right side
   33,840x = 2,920,321,600
5. Step 5: Solve for x
   x = 2,920,321,600/33,840
6. Step 6: Final answer
   x = 86,297.92