Finding the Third Proportional to 3,663.98 and 5,841.49

Step by Step Solution

1. Step 1: Write the proportion equation
   3,663.98 : 5,841.49 = 5,841.49 : x
2. Step 2: Convert to fraction form
   3,663.98/5,841.49 = 5,841.49/x
3. Step 3: Cross multiply
   3,663.98x = 5,841.49 × 5,841.49
4. Step 4: Simplify right side
   3,663.98x = 34,123,030.98
5. Step 5: Solve for x
   x = 34,123,030.98/3,663.98
6. Step 6: Final answer
   x = 9,313.09