Finding the Third Proportional to 2,583.56 and 4,314.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,583.56 : 4,314.94 = 4,314.94 : x
2. Step 2: Convert to fraction form
   2,583.56/4,314.94 = 4,314.94/x
3. Step 3: Cross multiply
   2,583.56x = 4,314.94 × 4,314.94
4. Step 4: Simplify right side
   2,583.56x = 18,618,685.63
5. Step 5: Solve for x
   x = 18,618,685.63/2,583.56
6. Step 6: Final answer
   x = 7,206.59