Finding the Third Proportional to 1,270.69 and 1,497.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,270.69 : 1,497.09 = 1,497.09 : x
2. Step 2: Convert to fraction form
   1,270.69/1,497.09 = 1,497.09/x
3. Step 3: Cross multiply
   1,270.69x = 1,497.09 × 1,497.09
4. Step 4: Simplify right side
   1,270.69x = 2,241,289.70
5. Step 5: Solve for x
   x = 2,241,289.70/1,270.69
6. Step 6: Final answer
   x = 1,763.84