Finding the Third Proportional to 1,024.31 and 1,101.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024.31 : 1,101.09 = 1,101.09 : x
2. Step 2: Convert to fraction form
   1,024.31/1,101.09 = 1,101.09/x
3. Step 3: Cross multiply
   1,024.31x = 1,101.09 × 1,101.09
4. Step 4: Simplify right side
   1,024.31x = 1,212,407.45
5. Step 5: Solve for x
   x = 1,212,407.45/1,024.31
6. Step 6: Final answer
   x = 1,183.63