Finding the Third Proportional to 1,462.73 and 2,324.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,462.73 : 2,324.06 = 2,324.06 : x
2. Step 2: Convert to fraction form
   1,462.73/2,324.06 = 2,324.06/x
3. Step 3: Cross multiply
   1,462.73x = 2,324.06 × 2,324.06
4. Step 4: Simplify right side
   1,462.73x = 5,401,266.50
5. Step 5: Solve for x
   x = 5,401,266.50/1,462.73
6. Step 6: Final answer
   x = 3,692.58