Finding the Third Proportional to 1,089.75 and 2,401.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,089.75 : 2,401.13 = 2,401.13 : x
2. Step 2: Convert to fraction form
   1,089.75/2,401.13 = 2,401.13/x
3. Step 3: Cross multiply
   1,089.75x = 2,401.13 × 2,401.13
4. Step 4: Simplify right side
   1,089.75x = 5,765,401.27
5. Step 5: Solve for x
   x = 5,765,401.27/1,089.75
6. Step 6: Final answer
   x = 5,290.57