Finding the Third Proportional to 2,774.25 and 4,414.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,774.25 : 4,414.50 = 4,414.50 : x
2. Step 2: Convert to fraction form
   2,774.25/4,414.50 = 4,414.50/x
3. Step 3: Cross multiply
   2,774.25x = 4,414.50 × 4,414.50
4. Step 4: Simplify right side
   2,774.25x = 19,487,810.25
5. Step 5: Solve for x
   x = 19,487,810.25/2,774.25
6. Step 6: Final answer
   x = 7,024.53