Finding the Third Proportional to 801.56 and 923.06

Step by Step Solution

1. Step 1: Write the proportion equation
   801.56 : 923.06 = 923.06 : x
2. Step 2: Convert to fraction form
   801.56/923.06 = 923.06/x
3. Step 3: Cross multiply
   801.56x = 923.06 × 923.06
4. Step 4: Simplify right side
   801.56x = 852,044.38
5. Step 5: Solve for x
   x = 852,044.38/801.56
6. Step 6: Final answer
   x = 1,062.98