Finding the Third Proportional to 804.50 and 1,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   804.50 : 1,758.50 = 1,758.50 : x
2. Step 2: Convert to fraction form
   804.50/1,758.50 = 1,758.50/x
3. Step 3: Cross multiply
   804.50x = 1,758.50 × 1,758.50
4. Step 4: Simplify right side
   804.50x = 3,092,322.25
5. Step 5: Solve for x
   x = 3,092,322.25/804.50
6. Step 6: Final answer
   x = 3,843.78