Finding the Third Proportional to 2,542,584 and 3,769,896

Step by Step Solution

1. Step 1: Write the proportion equation
   2,542,584 : 3,769,896 = 3,769,896 : x
2. Step 2: Convert to fraction form
   2,542,584/3,769,896 = 3,769,896/x
3. Step 3: Cross multiply
   2,542,584x = 3,769,896 × 3,769,896
4. Step 4: Simplify right side
   2,542,584x = 14,212,115,850,816
5. Step 5: Solve for x
   x = 14,212,115,850,816/2,542,584
6. Step 6: Final answer
   x = 5,589,634.74