Finding the Third Proportional to 4,591.69 and 7,821.56

Step by Step Solution

1. Step 1: Write the proportion equation
   4,591.69 : 7,821.56 = 7,821.56 : x
2. Step 2: Convert to fraction form
   4,591.69/7,821.56 = 7,821.56/x
3. Step 3: Cross multiply
   4,591.69x = 7,821.56 × 7,821.56
4. Step 4: Simplify right side
   4,591.69x = 61,176,839.94
5. Step 5: Solve for x
   x = 61,176,839.94/4,591.69
6. Step 6: Final answer
   x = 13,323.39