Finding the Third Proportional to 1,101.09 and 1,610.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,101.09 : 1,610.30 = 1,610.30 : x
2. Step 2: Convert to fraction form
   1,101.09/1,610.30 = 1,610.30/x
3. Step 3: Cross multiply
   1,101.09x = 1,610.30 × 1,610.30
4. Step 4: Simplify right side
   1,101.09x = 2,593,056.03
5. Step 5: Solve for x
   x = 2,593,056.03/1,101.09
6. Step 6: Final answer
   x = 2,354.98