Finding the Third Proportional to 3,634.88 and 5,482.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,634.88 : 5,482.69 = 5,482.69 : x
2. Step 2: Convert to fraction form
   3,634.88/5,482.69 = 5,482.69/x
3. Step 3: Cross multiply
   3,634.88x = 5,482.69 × 5,482.69
4. Step 4: Simplify right side
   3,634.88x = 30,059,862.22
5. Step 5: Solve for x
   x = 30,059,862.22/3,634.88
6. Step 6: Final answer
   x = 8,269.85