Finding the Third Proportional to 2,462,142 and 3,782,154

Step by Step Solution

1. Step 1: Write the proportion equation
   2,462,142 : 3,782,154 = 3,782,154 : x
2. Step 2: Convert to fraction form
   2,462,142/3,782,154 = 3,782,154/x
3. Step 3: Cross multiply
   2,462,142x = 3,782,154 × 3,782,154
4. Step 4: Simplify right side
   2,462,142x = 14,304,688,879,716
5. Step 5: Solve for x
   x = 14,304,688,879,716/2,462,142
6. Step 6: Final answer
   x = 5,809,855.35