Finding the Third Proportional to 726.19 and 1,096.31

Step by Step Solution

1. Step 1: Write the proportion equation
   726.19 : 1,096.31 = 1,096.31 : x
2. Step 2: Convert to fraction form
   726.19/1,096.31 = 1,096.31/x
3. Step 3: Cross multiply
   726.19x = 1,096.31 × 1,096.31
4. Step 4: Simplify right side
   726.19x = 1,201,901.10
5. Step 5: Solve for x
   x = 1,201,901.10/726.19
6. Step 6: Final answer
   x = 1,655.08