Finding the Third Proportional to 704.63 and 1,054.31

Step by Step Solution

1. Step 1: Write the proportion equation
   704.63 : 1,054.31 = 1,054.31 : x
2. Step 2: Convert to fraction form
   704.63/1,054.31 = 1,054.31/x
3. Step 3: Cross multiply
   704.63x = 1,054.31 × 1,054.31
4. Step 4: Simplify right side
   704.63x = 1,111,574.85
5. Step 5: Solve for x
   x = 1,111,574.85/704.63
6. Step 6: Final answer
   x = 1,577.54