Finding the Third Proportional to 2,541,920 and 3,727,344

Step by Step Solution

1. Step 1: Write the proportion equation
   2,541,920 : 3,727,344 = 3,727,344 : x
2. Step 2: Convert to fraction form
   2,541,920/3,727,344 = 3,727,344/x
3. Step 3: Cross multiply
   2,541,920x = 3,727,344 × 3,727,344
4. Step 4: Simplify right side
   2,541,920x = 13,893,093,294,336
5. Step 5: Solve for x
   x = 13,893,093,294,336/2,541,920
6. Step 6: Final answer
   x = 5,465,590.30