Finding the Third Proportional to 1,544.38 and 2,649.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,544.38 : 2,649.74 = 2,649.74 : x
2. Step 2: Convert to fraction form
   1,544.38/2,649.74 = 2,649.74/x
3. Step 3: Cross multiply
   1,544.38x = 2,649.74 × 2,649.74
4. Step 4: Simplify right side
   1,544.38x = 7,021,144.01
5. Step 5: Solve for x
   x = 7,021,144.01/1,544.38
6. Step 6: Final answer
   x = 4,546.26