Finding the Third Proportional to 3,621.63 and 5,756.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,621.63 : 5,756.50 = 5,756.50 : x
2. Step 2: Convert to fraction form
   3,621.63/5,756.50 = 5,756.50/x
3. Step 3: Cross multiply
   3,621.63x = 5,756.50 × 5,756.50
4. Step 4: Simplify right side
   3,621.63x = 33,137,292.25
5. Step 5: Solve for x
   x = 33,137,292.25/3,621.63
6. Step 6: Final answer
   x = 9,149.84