Finding the Third Proportional to 1,101.94 and 1,610.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,101.94 : 1,610.69 = 1,610.69 : x
2. Step 2: Convert to fraction form
   1,101.94/1,610.69 = 1,610.69/x
3. Step 3: Cross multiply
   1,101.94x = 1,610.69 × 1,610.69
4. Step 4: Simplify right side
   1,101.94x = 2,594,329.95
5. Step 5: Solve for x
   x = 2,594,329.95/1,101.94
6. Step 6: Final answer
   x = 2,354.33