Finding the Third Proportional to 4,739.63 and 7,174.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,739.63 : 7,174.69 = 7,174.69 : x
2. Step 2: Convert to fraction form
   4,739.63/7,174.69 = 7,174.69/x
3. Step 3: Cross multiply
   4,739.63x = 7,174.69 × 7,174.69
4. Step 4: Simplify right side
   4,739.63x = 51,476,140.72
5. Step 5: Solve for x
   x = 51,476,140.72/4,739.63
6. Step 6: Final answer
   x = 10,860.80