Finding the Third Proportional to 1,175.81 and 2,698.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,175.81 : 2,698.69 = 2,698.69 : x
2. Step 2: Convert to fraction form
   1,175.81/2,698.69 = 2,698.69/x
3. Step 3: Cross multiply
   1,175.81x = 2,698.69 × 2,698.69
4. Step 4: Simplify right side
   1,175.81x = 7,282,914.22
5. Step 5: Solve for x
   x = 7,282,914.22/1,175.81
6. Step 6: Final answer
   x = 6,193.94