Finding the Third Proportional to 1,297.50 and 2,010

Step by Step Solution

1. Step 1: Write the proportion equation
   1,297.50 : 2,010 = 2,010 : x
2. Step 2: Convert to fraction form
   1,297.50/2,010 = 2,010/x
3. Step 3: Cross multiply
   1,297.50x = 2,010 × 2,010
4. Step 4: Simplify right side
   1,297.50x = 4,040,100
5. Step 5: Solve for x
   x = 4,040,100/1,297.50
6. Step 6: Final answer
   x = 3,113.76