Finding the Third Proportional to 801.75 and 1,101.38

Step by Step Solution

1. Step 1: Write the proportion equation
   801.75 : 1,101.38 = 1,101.38 : x
2. Step 2: Convert to fraction form
   801.75/1,101.38 = 1,101.38/x
3. Step 3: Cross multiply
   801.75x = 1,101.38 × 1,101.38
4. Step 4: Simplify right side
   801.75x = 1,213,026.89
5. Step 5: Solve for x
   x = 1,213,026.89/801.75
6. Step 6: Final answer
   x = 1,512.97