Finding the Third Proportional to 3,642 and 5,776.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,642 : 5,776.50 = 5,776.50 : x
2. Step 2: Convert to fraction form
   3,642/5,776.50 = 5,776.50/x
3. Step 3: Cross multiply
   3,642x = 5,776.50 × 5,776.50
4. Step 4: Simplify right side
   3,642x = 33,367,952.25
5. Step 5: Solve for x
   x = 33,367,952.25/3,642
6. Step 6: Final answer
   x = 9,161.99