Finding the Third Proportional to 730.50 and 1,004.25

Step by Step Solution

1. Step 1: Write the proportion equation
   730.50 : 1,004.25 = 1,004.25 : x
2. Step 2: Convert to fraction form
   730.50/1,004.25 = 1,004.25/x
3. Step 3: Cross multiply
   730.50x = 1,004.25 × 1,004.25
4. Step 4: Simplify right side
   730.50x = 1,008,518.06
5. Step 5: Solve for x
   x = 1,008,518.06/730.50
6. Step 6: Final answer
   x = 1,380.59