Finding the Third Proportional to 636.50 and 726.50

Step by Step Solution

1. Step 1: Write the proportion equation
   636.50 : 726.50 = 726.50 : x
2. Step 2: Convert to fraction form
   636.50/726.50 = 726.50/x
3. Step 3: Cross multiply
   636.50x = 726.50 × 726.50
4. Step 4: Simplify right side
   636.50x = 527,802.25
5. Step 5: Solve for x
   x = 527,802.25/636.50
6. Step 6: Final answer
   x = 829.23