Finding the Third Proportional to 1,743.25 and 3,800.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,743.25 : 3,800.50 = 3,800.50 : x
2. Step 2: Convert to fraction form
   1,743.25/3,800.50 = 3,800.50/x
3. Step 3: Cross multiply
   1,743.25x = 3,800.50 × 3,800.50
4. Step 4: Simplify right side
   1,743.25x = 14,443,800.25
5. Step 5: Solve for x
   x = 14,443,800.25/1,743.25
6. Step 6: Final answer
   x = 8,285.56