Finding the Third Proportional to 4,510.69 and 5,945.91

Step by Step Solution

1. Step 1: Write the proportion equation
   4,510.69 : 5,945.91 = 5,945.91 : x
2. Step 2: Convert to fraction form
   4,510.69/5,945.91 = 5,945.91/x
3. Step 3: Cross multiply
   4,510.69x = 5,945.91 × 5,945.91
4. Step 4: Simplify right side
   4,510.69x = 35,353,801.13
5. Step 5: Solve for x
   x = 35,353,801.13/4,510.69
6. Step 6: Final answer
   x = 7,837.79