Finding the Third Proportional to 1,282 and 2,064.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,282 : 2,064.50 = 2,064.50 : x
2. Step 2: Convert to fraction form
   1,282/2,064.50 = 2,064.50/x
3. Step 3: Cross multiply
   1,282x = 2,064.50 × 2,064.50
4. Step 4: Simplify right side
   1,282x = 4,262,160.25
5. Step 5: Solve for x
   x = 4,262,160.25/1,282
6. Step 6: Final answer
   x = 3,324.62