Finding the Third Proportional to 1,764.28 and 3,698.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,764.28 : 3,698.16 = 3,698.16 : x
2. Step 2: Convert to fraction form
   1,764.28/3,698.16 = 3,698.16/x
3. Step 3: Cross multiply
   1,764.28x = 3,698.16 × 3,698.16
4. Step 4: Simplify right side
   1,764.28x = 13,676,359.65
5. Step 5: Solve for x
   x = 13,676,359.65/1,764.28
6. Step 6: Final answer
   x = 7,751.80