Finding the Third Proportional to 1,280.38 and 1,729.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,280.38 : 1,729.06 = 1,729.06 : x
2. Step 2: Convert to fraction form
   1,280.38/1,729.06 = 1,729.06/x
3. Step 3: Cross multiply
   1,280.38x = 1,729.06 × 1,729.06
4. Step 4: Simplify right side
   1,280.38x = 2,989,652.91
5. Step 5: Solve for x
   x = 2,989,652.91/1,280.38
6. Step 6: Final answer
   x = 2,334.98