Finding the Third Proportional to 2,202 and 3,165.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,202 : 3,165.50 = 3,165.50 : x
2. Step 2: Convert to fraction form
   2,202/3,165.50 = 3,165.50/x
3. Step 3: Cross multiply
   2,202x = 3,165.50 × 3,165.50
4. Step 4: Simplify right side
   2,202x = 10,020,390.25
5. Step 5: Solve for x
   x = 10,020,390.25/2,202
6. Step 6: Final answer
   x = 4,550.59