Finding the Third Proportional to 2,385.28 and 3,649.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,385.28 : 3,649.22 = 3,649.22 : x
2. Step 2: Convert to fraction form
   2,385.28/3,649.22 = 3,649.22/x
3. Step 3: Cross multiply
   2,385.28x = 3,649.22 × 3,649.22
4. Step 4: Simplify right side
   2,385.28x = 13,316,797.49
5. Step 5: Solve for x
   x = 13,316,797.49/2,385.28
6. Step 6: Final answer
   x = 5,582.90