Finding the Third Proportional to 4,601.81 and 5,968.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,601.81 : 5,968.69 = 5,968.69 : x
2. Step 2: Convert to fraction form
   4,601.81/5,968.69 = 5,968.69/x
3. Step 3: Cross multiply
   4,601.81x = 5,968.69 × 5,968.69
4. Step 4: Simplify right side
   4,601.81x = 35,625,230.47
5. Step 5: Solve for x
   x = 35,625,230.47/4,601.81
6. Step 6: Final answer
   x = 7,741.56