Finding the Third Proportional to 1,826.25 and 2,738.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,826.25 : 2,738.63 = 2,738.63 : x
2. Step 2: Convert to fraction form
   1,826.25/2,738.63 = 2,738.63/x
3. Step 3: Cross multiply
   1,826.25x = 2,738.63 × 2,738.63
4. Step 4: Simplify right side
   1,826.25x = 7,500,066.89
5. Step 5: Solve for x
   x = 7,500,066.89/1,826.25
6. Step 6: Final answer
   x = 4,106.81