Finding the Third Proportional to 709 and 1,036.50

Step by Step Solution

1. Step 1: Write the proportion equation
   709 : 1,036.50 = 1,036.50 : x
2. Step 2: Convert to fraction form
   709/1,036.50 = 1,036.50/x
3. Step 3: Cross multiply
   709x = 1,036.50 × 1,036.50
4. Step 4: Simplify right side
   709x = 1,074,332.25
5. Step 5: Solve for x
   x = 1,074,332.25/709
6. Step 6: Final answer
   x = 1,515.28