Finding the Third Proportional to 3,694.50 and 7,287.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,694.50 : 7,287.75 = 7,287.75 : x
2. Step 2: Convert to fraction form
   3,694.50/7,287.75 = 7,287.75/x
3. Step 3: Cross multiply
   3,694.50x = 7,287.75 × 7,287.75
4. Step 4: Simplify right side
   3,694.50x = 53,111,300.06
5. Step 5: Solve for x
   x = 53,111,300.06/3,694.50
6. Step 6: Final answer
   x = 14,375.77