Finding the Third Proportional to 1,328.06 and 1,459.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,328.06 : 1,459.27 = 1,459.27 : x
2. Step 2: Convert to fraction form
   1,328.06/1,459.27 = 1,459.27/x
3. Step 3: Cross multiply
   1,328.06x = 1,459.27 × 1,459.27
4. Step 4: Simplify right side
   1,328.06x = 2,129,456.16
5. Step 5: Solve for x
   x = 2,129,456.16/1,328.06
6. Step 6: Final answer
   x = 1,603.43