Finding the Third Proportional to 1,827.38 and 2,756.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,827.38 : 2,756.81 = 2,756.81 : x
2. Step 2: Convert to fraction form
   1,827.38/2,756.81 = 2,756.81/x
3. Step 3: Cross multiply
   1,827.38x = 2,756.81 × 2,756.81
4. Step 4: Simplify right side
   1,827.38x = 7,600,015.16
5. Step 5: Solve for x
   x = 7,600,015.16/1,827.38
6. Step 6: Final answer
   x = 4,158.98