Finding the Third Proportional to 1,082 and 1,469.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,082 : 1,469.50 = 1,469.50 : x
2. Step 2: Convert to fraction form
   1,082/1,469.50 = 1,469.50/x
3. Step 3: Cross multiply
   1,082x = 1,469.50 × 1,469.50
4. Step 4: Simplify right side
   1,082x = 2,159,430.25
5. Step 5: Solve for x
   x = 2,159,430.25/1,082
6. Step 6: Final answer
   x = 1,995.78