Finding the Third Proportional to 4,786.59 and 7,278.61

Step by Step Solution

1. Step 1: Write the proportion equation
   4,786.59 : 7,278.61 = 7,278.61 : x
2. Step 2: Convert to fraction form
   4,786.59/7,278.61 = 7,278.61/x
3. Step 3: Cross multiply
   4,786.59x = 7,278.61 × 7,278.61
4. Step 4: Simplify right side
   4,786.59x = 52,978,154.43
5. Step 5: Solve for x
   x = 52,978,154.43/4,786.59
6. Step 6: Final answer
   x = 11,068.03