Finding the Third Proportional to 3,766.50 and 5,478.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,766.50 : 5,478.75 = 5,478.75 : x
2. Step 2: Convert to fraction form
   3,766.50/5,478.75 = 5,478.75/x
3. Step 3: Cross multiply
   3,766.50x = 5,478.75 × 5,478.75
4. Step 4: Simplify right side
   3,766.50x = 30,016,701.56
5. Step 5: Solve for x
   x = 30,016,701.56/3,766.50
6. Step 6: Final answer
   x = 7,969.39