Finding the Third Proportional to 1,493.86 and 3,282.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,493.86 : 3,282.61 = 3,282.61 : x
2. Step 2: Convert to fraction form
   1,493.86/3,282.61 = 3,282.61/x
3. Step 3: Cross multiply
   1,493.86x = 3,282.61 × 3,282.61
4. Step 4: Simplify right side
   1,493.86x = 10,775,524.31
5. Step 5: Solve for x
   x = 10,775,524.31/1,493.86
6. Step 6: Final answer
   x = 7,213.21