Finding the Third Proportional to 36,496 and 53,444

Step by Step Solution

1. Step 1: Write the proportion equation
   36,496 : 53,444 = 53,444 : x
2. Step 2: Convert to fraction form
   36,496/53,444 = 53,444/x
3. Step 3: Cross multiply
   36,496x = 53,444 × 53,444
4. Step 4: Simplify right side
   36,496x = 2,856,261,136
5. Step 5: Solve for x
   x = 2,856,261,136/36,496
6. Step 6: Final answer
   x = 78,262.31