Finding the Third Proportional to 2,766.66 and 3,729.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,766.66 : 3,729.80 = 3,729.80 : x
2. Step 2: Convert to fraction form
   2,766.66/3,729.80 = 3,729.80/x
3. Step 3: Cross multiply
   2,766.66x = 3,729.80 × 3,729.80
4. Step 4: Simplify right side
   2,766.66x = 13,911,384.73
5. Step 5: Solve for x
   x = 13,911,384.73/2,766.66
6. Step 6: Final answer
   x = 5,028.23