Finding the Third Proportional to 789.75 and 863.25

Step by Step Solution

1. Step 1: Write the proportion equation
   789.75 : 863.25 = 863.25 : x
2. Step 2: Convert to fraction form
   789.75/863.25 = 863.25/x
3. Step 3: Cross multiply
   789.75x = 863.25 × 863.25
4. Step 4: Simplify right side
   789.75x = 745,200.56
5. Step 5: Solve for x
   x = 745,200.56/789.75
6. Step 6: Final answer
   x = 943.59