Finding the Third Proportional to 1,092.09 and 1,648.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,092.09 : 1,648.41 = 1,648.41 : x
2. Step 2: Convert to fraction form
   1,092.09/1,648.41 = 1,648.41/x
3. Step 3: Cross multiply
   1,092.09x = 1,648.41 × 1,648.41
4. Step 4: Simplify right side
   1,092.09x = 2,717,243.17
5. Step 5: Solve for x
   x = 2,717,243.17/1,092.09
6. Step 6: Final answer
   x = 2,488.10