Finding the Third Proportional to 2,075.89 and 3,084.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,075.89 : 3,084.27 = 3,084.27 : x
2. Step 2: Convert to fraction form
   2,075.89/3,084.27 = 3,084.27/x
3. Step 3: Cross multiply
   2,075.89x = 3,084.27 × 3,084.27
4. Step 4: Simplify right side
   2,075.89x = 9,512,742.64
5. Step 5: Solve for x
   x = 9,512,742.64/2,075.89
6. Step 6: Final answer
   x = 4,582.49