Finding the Third Proportional to 1,857.38 and 2,649.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,857.38 : 2,649.94 = 2,649.94 : x
2. Step 2: Convert to fraction form
   1,857.38/2,649.94 = 2,649.94/x
3. Step 3: Cross multiply
   1,857.38x = 2,649.94 × 2,649.94
4. Step 4: Simplify right side
   1,857.38x = 7,022,168.75
5. Step 5: Solve for x
   x = 7,022,168.75/1,857.38
6. Step 6: Final answer
   x = 3,780.70