Finding the Third Proportional to 3,781 and 5,675.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,781 : 5,675.50 = 5,675.50 : x
2. Step 2: Convert to fraction form
   3,781/5,675.50 = 5,675.50/x
3. Step 3: Cross multiply
   3,781x = 5,675.50 × 5,675.50
4. Step 4: Simplify right side
   3,781x = 32,211,300.25
5. Step 5: Solve for x
   x = 32,211,300.25/3,781
6. Step 6: Final answer
   x = 8,519.25