Finding the Third Proportional to 1,485.84 and 2,286.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,485.84 : 2,286.56 = 2,286.56 : x
2. Step 2: Convert to fraction form
   1,485.84/2,286.56 = 2,286.56/x
3. Step 3: Cross multiply
   1,485.84x = 2,286.56 × 2,286.56
4. Step 4: Simplify right side
   1,485.84x = 5,228,368.07
5. Step 5: Solve for x
   x = 5,228,368.07/1,485.84
6. Step 6: Final answer
   x = 3,518.79