Finding the Third Proportional to 3,796.45 and 5,942.11

Step by Step Solution

1. Step 1: Write the proportion equation
   3,796.45 : 5,942.11 = 5,942.11 : x
2. Step 2: Convert to fraction form
   3,796.45/5,942.11 = 5,942.11/x
3. Step 3: Cross multiply
   3,796.45x = 5,942.11 × 5,942.11
4. Step 4: Simplify right side
   3,796.45x = 35,308,663.82
5. Step 5: Solve for x
   x = 35,308,663.82/3,796.45
6. Step 6: Final answer
   x = 9,300.43