Finding the Third Proportional to 1,270.69 and 1,969.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,270.69 : 1,969.31 = 1,969.31 : x
2. Step 2: Convert to fraction form
   1,270.69/1,969.31 = 1,969.31/x
3. Step 3: Cross multiply
   1,270.69x = 1,969.31 × 1,969.31
4. Step 4: Simplify right side
   1,270.69x = 3,878,191.72
5. Step 5: Solve for x
   x = 3,878,191.72/1,270.69
6. Step 6: Final answer
   x = 3,052.04