Finding the Third Proportional to 3,751.50 and 5,697

Step by Step Solution

1. Step 1: Write the proportion equation
   3,751.50 : 5,697 = 5,697 : x
2. Step 2: Convert to fraction form
   3,751.50/5,697 = 5,697/x
3. Step 3: Cross multiply
   3,751.50x = 5,697 × 5,697
4. Step 4: Simplify right side
   3,751.50x = 32,455,809
5. Step 5: Solve for x
   x = 32,455,809/3,751.50
6. Step 6: Final answer
   x = 8,651.42