Finding the Third Proportional to 966.09 and 2,086.59

Step by Step Solution

1. Step 1: Write the proportion equation
   966.09 : 2,086.59 = 2,086.59 : x
2. Step 2: Convert to fraction form
   966.09/2,086.59 = 2,086.59/x
3. Step 3: Cross multiply
   966.09x = 2,086.59 × 2,086.59
4. Step 4: Simplify right side
   966.09x = 4,353,873.48
5. Step 5: Solve for x
   x = 4,353,873.48/966.09
6. Step 6: Final answer
   x = 4,506.68