Finding the Third Proportional to 966 and 2,398.50

Step by Step Solution

1. Step 1: Write the proportion equation
   966 : 2,398.50 = 2,398.50 : x
2. Step 2: Convert to fraction form
   966/2,398.50 = 2,398.50/x
3. Step 3: Cross multiply
   966x = 2,398.50 × 2,398.50
4. Step 4: Simplify right side
   966x = 5,752,802.25
5. Step 5: Solve for x
   x = 5,752,802.25/966
6. Step 6: Final answer
   x = 5,955.28