Finding the Third Proportional to 2,702.53 and 5,878.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,702.53 : 5,878.41 = 5,878.41 : x
2. Step 2: Convert to fraction form
   2,702.53/5,878.41 = 5,878.41/x
3. Step 3: Cross multiply
   2,702.53x = 5,878.41 × 5,878.41
4. Step 4: Simplify right side
   2,702.53x = 34,555,660.04
5. Step 5: Solve for x
   x = 34,555,660.04/2,702.53
6. Step 6: Final answer
   x = 12,786.41