Finding the Third Proportional to 1,287.14 and 1,748.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,287.14 : 1,748.46 = 1,748.46 : x
2. Step 2: Convert to fraction form
   1,287.14/1,748.46 = 1,748.46/x
3. Step 3: Cross multiply
   1,287.14x = 1,748.46 × 1,748.46
4. Step 4: Simplify right side
   1,287.14x = 3,057,115.65
5. Step 5: Solve for x
   x = 3,057,115.65/1,287.14
6. Step 6: Final answer
   x = 2,375.12