Finding the Third Proportional to 5,945.91 and 9,288.42

Step by Step Solution

1. Step 1: Write the proportion equation
   5,945.91 : 9,288.42 = 9,288.42 : x
2. Step 2: Convert to fraction form
   5,945.91/9,288.42 = 9,288.42/x
3. Step 3: Cross multiply
   5,945.91x = 9,288.42 × 9,288.42
4. Step 4: Simplify right side
   5,945.91x = 86,274,780.93
5. Step 5: Solve for x
   x = 86,274,780.93/5,945.91
6. Step 6: Final answer
   x = 14,509.95