Finding the Third Proportional to 1,076.26 and 1,662.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,076.26 : 1,662.37 = 1,662.37 : x
2. Step 2: Convert to fraction form
   1,076.26/1,662.37 = 1,662.37/x
3. Step 3: Cross multiply
   1,076.26x = 1,662.37 × 1,662.37
4. Step 4: Simplify right side
   1,076.26x = 2,763,490.49
5. Step 5: Solve for x
   x = 2,763,490.49/1,076.26
6. Step 6: Final answer
   x = 2,567.67