Finding the Third Proportional to 1,270 and 1,965.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,270 : 1,965.50 = 1,965.50 : x
2. Step 2: Convert to fraction form
   1,270/1,965.50 = 1,965.50/x
3. Step 3: Cross multiply
   1,270x = 1,965.50 × 1,965.50
4. Step 4: Simplify right side
   1,270x = 3,863,190.25
5. Step 5: Solve for x
   x = 3,863,190.25/1,270
6. Step 6: Final answer
   x = 3,041.88