Finding the Third Proportional to 2,509,848 and 3,878,136

Step by Step Solution

1. Step 1: Write the proportion equation
   2,509,848 : 3,878,136 = 3,878,136 : x
2. Step 2: Convert to fraction form
   2,509,848/3,878,136 = 3,878,136/x
3. Step 3: Cross multiply
   2,509,848x = 3,878,136 × 3,878,136
4. Step 4: Simplify right side
   2,509,848x = 15,039,938,834,496
5. Step 5: Solve for x
   x = 15,039,938,834,496/2,509,848
6. Step 6: Final answer
   x = 5,992,370.39