Finding the Third Proportional to 5,320.69 and 7,859.53

Step by Step Solution

1. Step 1: Write the proportion equation
   5,320.69 : 7,859.53 = 7,859.53 : x
2. Step 2: Convert to fraction form
   5,320.69/7,859.53 = 7,859.53/x
3. Step 3: Cross multiply
   5,320.69x = 7,859.53 × 7,859.53
4. Step 4: Simplify right side
   5,320.69x = 61,772,231.47
5. Step 5: Solve for x
   x = 61,772,231.47/5,320.69
6. Step 6: Final answer
   x = 11,609.82