Finding the Third Proportional to 705.38 and 1,053

Step by Step Solution

1. Step 1: Write the proportion equation
   705.38 : 1,053 = 1,053 : x
2. Step 2: Convert to fraction form
   705.38/1,053 = 1,053/x
3. Step 3: Cross multiply
   705.38x = 1,053 × 1,053
4. Step 4: Simplify right side
   705.38x = 1,108,809
5. Step 5: Solve for x
   x = 1,108,809/705.38
6. Step 6: Final answer
   x = 1,571.94