Finding the Third Proportional to 623.25 and 1,314

Step by Step Solution

1. Step 1: Write the proportion equation
   623.25 : 1,314 = 1,314 : x
2. Step 2: Convert to fraction form
   623.25/1,314 = 1,314/x
3. Step 3: Cross multiply
   623.25x = 1,314 × 1,314
4. Step 4: Simplify right side
   623.25x = 1,726,596
5. Step 5: Solve for x
   x = 1,726,596/623.25
6. Step 6: Final answer
   x = 2,770.31