Finding the Third Proportional to 5,197.50 and 7,488.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,197.50 : 7,488.56 = 7,488.56 : x
2. Step 2: Convert to fraction form
   5,197.50/7,488.56 = 7,488.56/x
3. Step 3: Cross multiply
   5,197.50x = 7,488.56 × 7,488.56
4. Step 4: Simplify right side
   5,197.50x = 56,078,568.32
5. Step 5: Solve for x
   x = 56,078,568.32/5,197.50
6. Step 6: Final answer
   x = 10,789.53