Finding the Third Proportional to 2,642.63 and 3,698.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.63 : 3,698.16 = 3,698.16 : x
2. Step 2: Convert to fraction form
   2,642.63/3,698.16 = 3,698.16/x
3. Step 3: Cross multiply
   2,642.63x = 3,698.16 × 3,698.16
4. Step 4: Simplify right side
   2,642.63x = 13,676,359.65
5. Step 5: Solve for x
   x = 13,676,359.65/2,642.63
6. Step 6: Final answer
   x = 5,175.29