Finding the Third Proportional to 2,162.74 and 2,763.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,162.74 : 2,763.56 = 2,763.56 : x
2. Step 2: Convert to fraction form
   2,162.74/2,763.56 = 2,763.56/x
3. Step 3: Cross multiply
   2,162.74x = 2,763.56 × 2,763.56
4. Step 4: Simplify right side
   2,162.74x = 7,637,277.69
5. Step 5: Solve for x
   x = 7,637,277.69/2,162.74
6. Step 6: Final answer
   x = 3,531.29