Finding the Third Proportional to 1,100.11 and 1,644.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,100.11 : 1,644.61 = 1,644.61 : x
2. Step 2: Convert to fraction form
   1,100.11/1,644.61 = 1,644.61/x
3. Step 3: Cross multiply
   1,100.11x = 1,644.61 × 1,644.61
4. Step 4: Simplify right side
   1,100.11x = 2,704,740.00
5. Step 5: Solve for x
   x = 2,704,740.00/1,100.11
6. Step 6: Final answer
   x = 2,458.61