Finding the Third Proportional to 2,507,540 and 3,820,064

Step by Step Solution

1. Step 1: Write the proportion equation
   2,507,540 : 3,820,064 = 3,820,064 : x
2. Step 2: Convert to fraction form
   2,507,540/3,820,064 = 3,820,064/x
3. Step 3: Cross multiply
   2,507,540x = 3,820,064 × 3,820,064
4. Step 4: Simplify right side
   2,507,540x = 14,592,888,964,096
5. Step 5: Solve for x
   x = 14,592,888,964,096/2,507,540
6. Step 6: Final answer
   x = 5,819,603.66