Finding the Third Proportional to 1,026.42 and 1,107.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.42 : 1,107.42 = 1,107.42 : x
2. Step 2: Convert to fraction form
   1,026.42/1,107.42 = 1,107.42/x
3. Step 3: Cross multiply
   1,026.42x = 1,107.42 × 1,107.42
4. Step 4: Simplify right side
   1,026.42x = 1,226,383.21
5. Step 5: Solve for x
   x = 1,226,383.21/1,026.42
6. Step 6: Final answer
   x = 1,194.81