Finding the Third Proportional to 2,462,140 and 3,782,144

Step by Step Solution

1. Step 1: Write the proportion equation
   2,462,140 : 3,782,144 = 3,782,144 : x
2. Step 2: Convert to fraction form
   2,462,140/3,782,144 = 3,782,144/x
3. Step 3: Cross multiply
   2,462,140x = 3,782,144 × 3,782,144
4. Step 4: Simplify right side
   2,462,140x = 14,304,613,236,736
5. Step 5: Solve for x
   x = 14,304,613,236,736/2,462,140
6. Step 6: Final answer
   x = 5,809,829.35