Finding the Third Proportional to 1,508.20 and 2,271.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,508.20 : 2,271.80 = 2,271.80 : x
2. Step 2: Convert to fraction form
   1,508.20/2,271.80 = 2,271.80/x
3. Step 3: Cross multiply
   1,508.20x = 2,271.80 × 2,271.80
4. Step 4: Simplify right side
   1,508.20x = 5,161,061.04
5. Step 5: Solve for x
   x = 5,161,061.04/1,508.20
6. Step 6: Final answer
   x = 3,421.99