Finding the Third Proportional to 3,757 and 5,689.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,757 : 5,689.50 = 5,689.50 : x
2. Step 2: Convert to fraction form
   3,757/5,689.50 = 5,689.50/x
3. Step 3: Cross multiply
   3,757x = 5,689.50 × 5,689.50
4. Step 4: Simplify right side
   3,757x = 32,370,410.25
5. Step 5: Solve for x
   x = 32,370,410.25/3,757
6. Step 6: Final answer
   x = 8,616.03