Finding the Third Proportional to 3,174.19 and 4,510.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,174.19 : 4,510.69 = 4,510.69 : x
2. Step 2: Convert to fraction form
   3,174.19/4,510.69 = 4,510.69/x
3. Step 3: Cross multiply
   3,174.19x = 4,510.69 × 4,510.69
4. Step 4: Simplify right side
   3,174.19x = 20,346,301.72
5. Step 5: Solve for x
   x = 20,346,301.72/3,174.19
6. Step 6: Final answer
   x = 6,409.92