Finding the Third Proportional to 3,774 and 5,653.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,774 : 5,653.50 = 5,653.50 : x
2. Step 2: Convert to fraction form
   3,774/5,653.50 = 5,653.50/x
3. Step 3: Cross multiply
   3,774x = 5,653.50 × 5,653.50
4. Step 4: Simplify right side
   3,774x = 31,962,062.25
5. Step 5: Solve for x
   x = 31,962,062.25/3,774
6. Step 6: Final answer
   x = 8,469.01