Finding the Third Proportional to 2,393.81 and 3,678.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,393.81 : 3,678.56 = 3,678.56 : x
2. Step 2: Convert to fraction form
   2,393.81/3,678.56 = 3,678.56/x
3. Step 3: Cross multiply
   2,393.81x = 3,678.56 × 3,678.56
4. Step 4: Simplify right side
   2,393.81x = 13,531,822.07
5. Step 5: Solve for x
   x = 13,531,822.07/2,393.81
6. Step 6: Final answer
   x = 5,652.83