Finding the Third Proportional to 1,119.50 and 1,722.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,119.50 : 1,722.75 = 1,722.75 : x
2. Step 2: Convert to fraction form
   1,119.50/1,722.75 = 1,722.75/x
3. Step 3: Cross multiply
   1,119.50x = 1,722.75 × 1,722.75
4. Step 4: Simplify right side
   1,119.50x = 2,967,867.56
5. Step 5: Solve for x
   x = 2,967,867.56/1,119.50
6. Step 6: Final answer
   x = 2,651.07