Finding the Third Proportional to 3,627 and 5,333.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,627 : 5,333.63 = 5,333.63 : x
2. Step 2: Convert to fraction form
   3,627/5,333.63 = 5,333.63/x
3. Step 3: Cross multiply
   3,627x = 5,333.63 × 5,333.63
4. Step 4: Simplify right side
   3,627x = 28,447,555.64
5. Step 5: Solve for x
   x = 28,447,555.64/3,627
6. Step 6: Final answer
   x = 7,843.27