Finding the Third Proportional to 3,690.56 and 7,278.61

Step by Step Solution

1. Step 1: Write the proportion equation
   3,690.56 : 7,278.61 = 7,278.61 : x
2. Step 2: Convert to fraction form
   3,690.56/7,278.61 = 7,278.61/x
3. Step 3: Cross multiply
   3,690.56x = 7,278.61 × 7,278.61
4. Step 4: Simplify right side
   3,690.56x = 52,978,154.43
5. Step 5: Solve for x
   x = 52,978,154.43/3,690.56
6. Step 6: Final answer
   x = 14,355.04