Finding the Third Proportional to 965.89 and 2,114.38

Step by Step Solution

1. Step 1: Write the proportion equation
   965.89 : 2,114.38 = 2,114.38 : x
2. Step 2: Convert to fraction form
   965.89/2,114.38 = 2,114.38/x
3. Step 3: Cross multiply
   965.89x = 2,114.38 × 2,114.38
4. Step 4: Simplify right side
   965.89x = 4,470,622.94
5. Step 5: Solve for x
   x = 4,470,622.94/965.89
6. Step 6: Final answer
   x = 4,628.50