Finding the Third Proportional to 2,202 and 4,648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,202 : 4,648.50 = 4,648.50 : x
2. Step 2: Convert to fraction form
   2,202/4,648.50 = 4,648.50/x
3. Step 3: Cross multiply
   2,202x = 4,648.50 × 4,648.50
4. Step 4: Simplify right side
   2,202x = 21,608,552.25
5. Step 5: Solve for x
   x = 21,608,552.25/2,202
6. Step 6: Final answer
   x = 9,813.15