Finding the Third Proportional to 1,266.26 and 2,766.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,266.26 : 2,766.02 = 2,766.02 : x
2. Step 2: Convert to fraction form
   1,266.26/2,766.02 = 2,766.02/x
3. Step 3: Cross multiply
   1,266.26x = 2,766.02 × 2,766.02
4. Step 4: Simplify right side
   1,266.26x = 7,650,885.66
5. Step 5: Solve for x
   x = 7,650,885.66/1,266.26
6. Step 6: Final answer
   x = 6,042.12