Finding the Third Proportional to 5,397.25 and 7,589.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,397.25 : 7,589.50 = 7,589.50 : x
2. Step 2: Convert to fraction form
   5,397.25/7,589.50 = 7,589.50/x
3. Step 3: Cross multiply
   5,397.25x = 7,589.50 × 7,589.50
4. Step 4: Simplify right side
   5,397.25x = 57,600,510.25
5. Step 5: Solve for x
   x = 57,600,510.25/5,397.25
6. Step 6: Final answer
   x = 10,672.20