Finding the Third Proportional to 7,144.88 and 11,174.63

Step by Step Solution

1. Step 1: Write the proportion equation
   7,144.88 : 11,174.63 = 11,174.63 : x
2. Step 2: Convert to fraction form
   7,144.88/11,174.63 = 11,174.63/x
3. Step 3: Cross multiply
   7,144.88x = 11,174.63 × 11,174.63
4. Step 4: Simplify right side
   7,144.88x = 124,872,243.89
5. Step 5: Solve for x
   x = 124,872,243.89/7,144.88
6. Step 6: Final answer
   x = 17,477.18