Finding the Third Proportional to 1,167.33 and 1,764.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,167.33 : 1,764.91 = 1,764.91 : x
2. Step 2: Convert to fraction form
   1,167.33/1,764.91 = 1,764.91/x
3. Step 3: Cross multiply
   1,167.33x = 1,764.91 × 1,764.91
4. Step 4: Simplify right side
   1,167.33x = 3,114,921.65
5. Step 5: Solve for x
   x = 3,114,921.65/1,167.33
6. Step 6: Final answer
   x = 2,668.42