Finding the Third Proportional to 3,780 and 5,674

Step by Step Solution

1. Step 1: Write the proportion equation
   3,780 : 5,674 = 5,674 : x
2. Step 2: Convert to fraction form
   3,780/5,674 = 5,674/x
3. Step 3: Cross multiply
   3,780x = 5,674 × 5,674
4. Step 4: Simplify right side
   3,780x = 32,194,276
5. Step 5: Solve for x
   x = 32,194,276/3,780
6. Step 6: Final answer
   x = 8,517.00