Finding the Third Proportional to 1,200.75 and 2,766.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.75 : 2,766.38 = 2,766.38 : x
2. Step 2: Convert to fraction form
   1,200.75/2,766.38 = 2,766.38/x
3. Step 3: Cross multiply
   1,200.75x = 2,766.38 × 2,766.38
4. Step 4: Simplify right side
   1,200.75x = 7,652,830.64
5. Step 5: Solve for x
   x = 7,652,830.64/1,200.75
6. Step 6: Final answer
   x = 6,373.38