Finding the Third Proportional to 1,086.75 and 1,455.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.75 : 1,455.89 = 1,455.89 : x
2. Step 2: Convert to fraction form
   1,086.75/1,455.89 = 1,455.89/x
3. Step 3: Cross multiply
   1,086.75x = 1,455.89 × 1,455.89
4. Step 4: Simplify right side
   1,086.75x = 2,119,617.51
5. Step 5: Solve for x
   x = 2,119,617.51/1,086.75
6. Step 6: Final answer
   x = 1,950.42