Finding the Third Proportional to 774.56 and 1,638.56

Step by Step Solution

1. Step 1: Write the proportion equation
   774.56 : 1,638.56 = 1,638.56 : x
2. Step 2: Convert to fraction form
   774.56/1,638.56 = 1,638.56/x
3. Step 3: Cross multiply
   774.56x = 1,638.56 × 1,638.56
4. Step 4: Simplify right side
   774.56x = 2,684,887.07
5. Step 5: Solve for x
   x = 2,684,887.07/774.56
6. Step 6: Final answer
   x = 3,466.33