Finding the Third Proportional to 1,207.69 and 1,383.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,207.69 : 1,383.19 = 1,383.19 : x
2. Step 2: Convert to fraction form
   1,207.69/1,383.19 = 1,383.19/x
3. Step 3: Cross multiply
   1,207.69x = 1,383.19 × 1,383.19
4. Step 4: Simplify right side
   1,207.69x = 1,913,207.66
5. Step 5: Solve for x
   x = 1,913,207.66/1,207.69
6. Step 6: Final answer
   x = 1,584.19