Finding the Third Proportional to 760.25 and 814.25

Step by Step Solution

1. Step 1: Write the proportion equation
   760.25 : 814.25 = 814.25 : x
2. Step 2: Convert to fraction form
   760.25/814.25 = 814.25/x
3. Step 3: Cross multiply
   760.25x = 814.25 × 814.25
4. Step 4: Simplify right side
   760.25x = 663,003.06
5. Step 5: Solve for x
   x = 663,003.06/760.25
6. Step 6: Final answer
   x = 872.09