Finding the Third Proportional to 2,537,920 and 5,494,016

Step by Step Solution

1. Step 1: Write the proportion equation
   2,537,920 : 5,494,016 = 5,494,016 : x
2. Step 2: Convert to fraction form
   2,537,920/5,494,016 = 5,494,016/x
3. Step 3: Cross multiply
   2,537,920x = 5,494,016 × 5,494,016
4. Step 4: Simplify right side
   2,537,920x = 30,184,211,808,256
5. Step 5: Solve for x
   x = 30,184,211,808,256/2,537,920
6. Step 6: Final answer
   x = 11,893,287.34