Finding the Third Proportional to 2,649.38 and 5,755.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,649.38 : 5,755.88 = 5,755.88 : x
2. Step 2: Convert to fraction form
   2,649.38/5,755.88 = 5,755.88/x
3. Step 3: Cross multiply
   2,649.38x = 5,755.88 × 5,755.88
4. Step 4: Simplify right side
   2,649.38x = 33,130,097.02
5. Step 5: Solve for x
   x = 33,130,097.02/2,649.38
6. Step 6: Final answer
   x = 12,504.87