Finding the Third Proportional to 3,766.50 and 5,271.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,766.50 : 5,271.75 = 5,271.75 : x
2. Step 2: Convert to fraction form
   3,766.50/5,271.75 = 5,271.75/x
3. Step 3: Cross multiply
   3,766.50x = 5,271.75 × 5,271.75
4. Step 4: Simplify right side
   3,766.50x = 27,791,348.06
5. Step 5: Solve for x
   x = 27,791,348.06/3,766.50
6. Step 6: Final answer
   x = 7,378.56