Finding the Third Proportional to 705.38 and 1,476.56

Step by Step Solution

1. Step 1: Write the proportion equation
   705.38 : 1,476.56 = 1,476.56 : x
2. Step 2: Convert to fraction form
   705.38/1,476.56 = 1,476.56/x
3. Step 3: Cross multiply
   705.38x = 1,476.56 × 1,476.56
4. Step 4: Simplify right side
   705.38x = 2,180,236.82
5. Step 5: Solve for x
   x = 2,180,236.82/705.38
6. Step 6: Final answer
   x = 3,090.89