Finding the Third Proportional to 3,816 and 5,777.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,816 : 5,777.50 = 5,777.50 : x
2. Step 2: Convert to fraction form
   3,816/5,777.50 = 5,777.50/x
3. Step 3: Cross multiply
   3,816x = 5,777.50 × 5,777.50
4. Step 4: Simplify right side
   3,816x = 33,379,506.25
5. Step 5: Solve for x
   x = 33,379,506.25/3,816
6. Step 6: Final answer
   x = 8,747.25