Finding the Third Proportional to 966.38 and 2,086.69

Step by Step Solution

1. Step 1: Write the proportion equation
   966.38 : 2,086.69 = 2,086.69 : x
2. Step 2: Convert to fraction form
   966.38/2,086.69 = 2,086.69/x
3. Step 3: Cross multiply
   966.38x = 2,086.69 × 2,086.69
4. Step 4: Simplify right side
   966.38x = 4,354,264.72
5. Step 5: Solve for x
   x = 4,354,264.72/966.38
6. Step 6: Final answer
   x = 4,505.77