Finding the Third Proportional to 4,878 and 5,333.63

Step by Step Solution

1. Step 1: Write the proportion equation
   4,878 : 5,333.63 = 5,333.63 : x
2. Step 2: Convert to fraction form
   4,878/5,333.63 = 5,333.63/x
3. Step 3: Cross multiply
   4,878x = 5,333.63 × 5,333.63
4. Step 4: Simplify right side
   4,878x = 28,447,555.64
5. Step 5: Solve for x
   x = 28,447,555.64/4,878
6. Step 6: Final answer
   x = 5,831.81