Finding the Third Proportional to 1,253.25 and 1,940.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,253.25 : 1,940.25 = 1,940.25 : x
2. Step 2: Convert to fraction form
   1,253.25/1,940.25 = 1,940.25/x
3. Step 3: Cross multiply
   1,253.25x = 1,940.25 × 1,940.25
4. Step 4: Simplify right side
   1,253.25x = 3,764,570.06
5. Step 5: Solve for x
   x = 3,764,570.06/1,253.25
6. Step 6: Final answer
   x = 3,003.85