Finding the Third Proportional to 4,779.84 and 7,382.81

Step by Step Solution

1. Step 1: Write the proportion equation
   4,779.84 : 7,382.81 = 7,382.81 : x
2. Step 2: Convert to fraction form
   4,779.84/7,382.81 = 7,382.81/x
3. Step 3: Cross multiply
   4,779.84x = 7,382.81 × 7,382.81
4. Step 4: Simplify right side
   4,779.84x = 54,505,920.41
5. Step 5: Solve for x
   x = 54,505,920.41/4,779.84
6. Step 6: Final answer
   x = 11,403.28