Finding the Third Proportional to 428.06 and 1,024.69

Step by Step Solution

1. Step 1: Write the proportion equation
   428.06 : 1,024.69 = 1,024.69 : x
2. Step 2: Convert to fraction form
   428.06/1,024.69 = 1,024.69/x
3. Step 3: Cross multiply
   428.06x = 1,024.69 × 1,024.69
4. Step 4: Simplify right side
   428.06x = 1,049,984.47
5. Step 5: Solve for x
   x = 1,049,984.47/428.06
6. Step 6: Final answer
   x = 2,452.88