Finding the Third Proportional to 1,297.69 and 1,381.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,297.69 : 1,381.22 = 1,381.22 : x
2. Step 2: Convert to fraction form
   1,297.69/1,381.22 = 1,381.22/x
3. Step 3: Cross multiply
   1,297.69x = 1,381.22 × 1,381.22
4. Step 4: Simplify right side
   1,297.69x = 1,907,765.24
5. Step 5: Solve for x
   x = 1,907,765.24/1,297.69
6. Step 6: Final answer
   x = 1,470.13