Finding the Third Proportional to 726.56 and 1,093.31

Step by Step Solution

1. Step 1: Write the proportion equation
   726.56 : 1,093.31 = 1,093.31 : x
2. Step 2: Convert to fraction form
   726.56/1,093.31 = 1,093.31/x
3. Step 3: Cross multiply
   726.56x = 1,093.31 × 1,093.31
4. Step 4: Simplify right side
   726.56x = 1,195,332.22
5. Step 5: Solve for x
   x = 1,195,332.22/726.56
6. Step 6: Final answer
   x = 1,645.19