Finding the Third Proportional to 3,101.63 and 7,369.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,101.63 : 7,369.31 = 7,369.31 : x
2. Step 2: Convert to fraction form
   3,101.63/7,369.31 = 7,369.31/x
3. Step 3: Cross multiply
   3,101.63x = 7,369.31 × 7,369.31
4. Step 4: Simplify right side
   3,101.63x = 54,306,766.72
5. Step 5: Solve for x
   x = 54,306,766.72/3,101.63
6. Step 6: Final answer
   x = 17,509.13