Finding the Third Proportional to 3,878.51 and 5,353.59

Step by Step Solution

1. Step 1: Write the proportion equation
   3,878.51 : 5,353.59 = 5,353.59 : x
2. Step 2: Convert to fraction form
   3,878.51/5,353.59 = 5,353.59/x
3. Step 3: Cross multiply
   3,878.51x = 5,353.59 × 5,353.59
4. Step 4: Simplify right side
   3,878.51x = 28,660,966.04
5. Step 5: Solve for x
   x = 28,660,966.04/3,878.51
6. Step 6: Final answer
   x = 7,389.69