Finding the Third Proportional to 5,406.75 and 7,288.31

Step by Step Solution

1. Step 1: Write the proportion equation
   5,406.75 : 7,288.31 = 7,288.31 : x
2. Step 2: Convert to fraction form
   5,406.75/7,288.31 = 7,288.31/x
3. Step 3: Cross multiply
   5,406.75x = 7,288.31 × 7,288.31
4. Step 4: Simplify right side
   5,406.75x = 53,119,499.10
5. Step 5: Solve for x
   x = 53,119,499.10/5,406.75
6. Step 6: Final answer
   x = 9,824.66