Finding the Third Proportional to 3,201 and 5,010.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,201 : 5,010.50 = 5,010.50 : x
2. Step 2: Convert to fraction form
   3,201/5,010.50 = 5,010.50/x
3. Step 3: Cross multiply
   3,201x = 5,010.50 × 5,010.50
4. Step 4: Simplify right side
   3,201x = 25,105,110.25
5. Step 5: Solve for x
   x = 25,105,110.25/3,201
6. Step 6: Final answer
   x = 7,842.90