Finding the Third Proportional to 2,462,136 and 3,782,142

Step by Step Solution

1. Step 1: Write the proportion equation
   2,462,136 : 3,782,142 = 3,782,142 : x
2. Step 2: Convert to fraction form
   2,462,136/3,782,142 = 3,782,142/x
3. Step 3: Cross multiply
   2,462,136x = 3,782,142 × 3,782,142
4. Step 4: Simplify right side
   2,462,136x = 14,304,598,108,164
5. Step 5: Solve for x
   x = 14,304,598,108,164/2,462,136
6. Step 6: Final answer
   x = 5,809,832.64