Finding the Third Proportional to 1,227.84 and 2,651.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,227.84 : 2,651.81 = 2,651.81 : x
2. Step 2: Convert to fraction form
   1,227.84/2,651.81 = 2,651.81/x
3. Step 3: Cross multiply
   1,227.84x = 2,651.81 × 2,651.81
4. Step 4: Simplify right side
   1,227.84x = 7,032,109.54
5. Step 5: Solve for x
   x = 7,032,109.54/1,227.84
6. Step 6: Final answer
   x = 5,727.20