Finding the Third Proportional to 2,852.72 and 4,174.03

Step by Step Solution

1. Step 1: Write the proportion equation
   2,852.72 : 4,174.03 = 4,174.03 : x
2. Step 2: Convert to fraction form
   2,852.72/4,174.03 = 4,174.03/x
3. Step 3: Cross multiply
   2,852.72x = 4,174.03 × 4,174.03
4. Step 4: Simplify right side
   2,852.72x = 17,422,536.88
5. Step 5: Solve for x
   x = 17,422,536.88/2,852.72
6. Step 6: Final answer
   x = 6,107.34