Finding the Third Proportional to 3,777 and 5,785.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,777 : 5,785.50 = 5,785.50 : x
2. Step 2: Convert to fraction form
   3,777/5,785.50 = 5,785.50/x
3. Step 3: Cross multiply
   3,777x = 5,785.50 × 5,785.50
4. Step 4: Simplify right side
   3,777x = 33,472,010.25
5. Step 5: Solve for x
   x = 33,472,010.25/3,777
6. Step 6: Final answer
   x = 8,862.06