Finding the Third Proportional to 3,505.78 and 5,549.77

Step by Step Solution

1. Step 1: Write the proportion equation
   3,505.78 : 5,549.77 = 5,549.77 : x
2. Step 2: Convert to fraction form
   3,505.78/5,549.77 = 5,549.77/x
3. Step 3: Cross multiply
   3,505.78x = 5,549.77 × 5,549.77
4. Step 4: Simplify right side
   3,505.78x = 30,799,898.49
5. Step 5: Solve for x
   x = 30,799,898.49/3,505.78
6. Step 6: Final answer
   x = 8,785.46