Finding the Third Proportional to 3,780 and 5,673.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,780 : 5,673.50 = 5,673.50 : x
2. Step 2: Convert to fraction form
   3,780/5,673.50 = 5,673.50/x
3. Step 3: Cross multiply
   3,780x = 5,673.50 × 5,673.50
4. Step 4: Simplify right side
   3,780x = 32,188,602.25
5. Step 5: Solve for x
   x = 32,188,602.25/3,780
6. Step 6: Final answer
   x = 8,515.50