Finding the Third Proportional to 1,303.50 and 1,982.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,303.50 : 1,982.25 = 1,982.25 : x
2. Step 2: Convert to fraction form
   1,303.50/1,982.25 = 1,982.25/x
3. Step 3: Cross multiply
   1,303.50x = 1,982.25 × 1,982.25
4. Step 4: Simplify right side
   1,303.50x = 3,929,315.06
5. Step 5: Solve for x
   x = 3,929,315.06/1,303.50
6. Step 6: Final answer
   x = 3,014.43