Finding the Third Proportional to 1,074.09 and 2,353.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,074.09 : 2,353.22 = 2,353.22 : x
2. Step 2: Convert to fraction form
   1,074.09/2,353.22 = 2,353.22/x
3. Step 3: Cross multiply
   1,074.09x = 2,353.22 × 2,353.22
4. Step 4: Simplify right side
   1,074.09x = 5,537,638.49
5. Step 5: Solve for x
   x = 5,537,638.49/1,074.09
6. Step 6: Final answer
   x = 5,155.64