Finding the Third Proportional to 1,894.31 and 2,281.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,894.31 : 2,281.69 = 2,281.69 : x
2. Step 2: Convert to fraction form
   1,894.31/2,281.69 = 2,281.69/x
3. Step 3: Cross multiply
   1,894.31x = 2,281.69 × 2,281.69
4. Step 4: Simplify right side
   1,894.31x = 5,206,097.85
5. Step 5: Solve for x
   x = 5,206,097.85/1,894.31
6. Step 6: Final answer
   x = 2,748.28