Finding the Third Proportional to 2,089.13 and 2,406.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,089.13 : 2,406.38 = 2,406.38 : x
2. Step 2: Convert to fraction form
   2,089.13/2,406.38 = 2,406.38/x
3. Step 3: Cross multiply
   2,089.13x = 2,406.38 × 2,406.38
4. Step 4: Simplify right side
   2,089.13x = 5,790,640.64
5. Step 5: Solve for x
   x = 5,790,640.64/2,089.13
6. Step 6: Final answer
   x = 2,771.80