Finding the Third Proportional to 949 and 1,453.50

Step by Step Solution

1. Step 1: Write the proportion equation
   949 : 1,453.50 = 1,453.50 : x
2. Step 2: Convert to fraction form
   949/1,453.50 = 1,453.50/x
3. Step 3: Cross multiply
   949x = 1,453.50 × 1,453.50
4. Step 4: Simplify right side
   949x = 2,112,662.25
5. Step 5: Solve for x
   x = 2,112,662.25/949
6. Step 6: Final answer
   x = 2,226.20