Finding the Third Proportional to 1,825.50 and 2,727.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,825.50 : 2,727.75 = 2,727.75 : x
2. Step 2: Convert to fraction form
   1,825.50/2,727.75 = 2,727.75/x
3. Step 3: Cross multiply
   1,825.50x = 2,727.75 × 2,727.75
4. Step 4: Simplify right side
   1,825.50x = 7,440,620.06
5. Step 5: Solve for x
   x = 7,440,620.06/1,825.50
6. Step 6: Final answer
   x = 4,075.94