Finding the Third Proportional to 705.38 and 1,459.69

Step by Step Solution

1. Step 1: Write the proportion equation
   705.38 : 1,459.69 = 1,459.69 : x
2. Step 2: Convert to fraction form
   705.38/1,459.69 = 1,459.69/x
3. Step 3: Cross multiply
   705.38x = 1,459.69 × 1,459.69
4. Step 4: Simplify right side
   705.38x = 2,130,687.60
5. Step 5: Solve for x
   x = 2,130,687.60/705.38
6. Step 6: Final answer
   x = 3,020.65