Finding the Third Proportional to 3,649.50 and 4,744.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,649.50 : 4,744.69 = 4,744.69 : x
2. Step 2: Convert to fraction form
   3,649.50/4,744.69 = 4,744.69/x
3. Step 3: Cross multiply
   3,649.50x = 4,744.69 × 4,744.69
4. Step 4: Simplify right side
   3,649.50x = 22,512,059.47
5. Step 5: Solve for x
   x = 22,512,059.47/3,649.50
6. Step 6: Final answer
   x = 6,168.53