Finding the Third Proportional to 2,649.47 and 5,819.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,649.47 : 5,819.02 = 5,819.02 : x
2. Step 2: Convert to fraction form
   2,649.47/5,819.02 = 5,819.02/x
3. Step 3: Cross multiply
   2,649.47x = 5,819.02 × 5,819.02
4. Step 4: Simplify right side
   2,649.47x = 33,860,942.84
5. Step 5: Solve for x
   x = 33,860,942.84/2,649.47
6. Step 6: Final answer
   x = 12,780.28