Finding the Third Proportional to 3,629.25 and 5,507.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,629.25 : 5,507.63 = 5,507.63 : x
2. Step 2: Convert to fraction form
   3,629.25/5,507.63 = 5,507.63/x
3. Step 3: Cross multiply
   3,629.25x = 5,507.63 × 5,507.63
4. Step 4: Simplify right side
   3,629.25x = 30,333,933.14
5. Step 5: Solve for x
   x = 30,333,933.14/3,629.25
6. Step 6: Final answer
   x = 8,358.18