Finding the Third Proportional to 2,584.72 and 3,877.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.72 : 3,877.56 = 3,877.56 : x
2. Step 2: Convert to fraction form
   2,584.72/3,877.56 = 3,877.56/x
3. Step 3: Cross multiply
   2,584.72x = 3,877.56 × 3,877.56
4. Step 4: Simplify right side
   2,584.72x = 15,035,460.65
5. Step 5: Solve for x
   x = 15,035,460.65/2,584.72
6. Step 6: Final answer
   x = 5,817.05