Finding the Third Proportional to 802.69 and 1,758.38

Step by Step Solution

1. Step 1: Write the proportion equation
   802.69 : 1,758.38 = 1,758.38 : x
2. Step 2: Convert to fraction form
   802.69/1,758.38 = 1,758.38/x
3. Step 3: Cross multiply
   802.69x = 1,758.38 × 1,758.38
4. Step 4: Simplify right side
   802.69x = 3,091,882.64
5. Step 5: Solve for x
   x = 3,091,882.64/802.69
6. Step 6: Final answer
   x = 3,851.91