Finding the Third Proportional to 2,275.50 and 2,927.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,275.50 : 2,927.25 = 2,927.25 : x
2. Step 2: Convert to fraction form
   2,275.50/2,927.25 = 2,927.25/x
3. Step 3: Cross multiply
   2,275.50x = 2,927.25 × 2,927.25
4. Step 4: Simplify right side
   2,275.50x = 8,568,792.56
5. Step 5: Solve for x
   x = 8,568,792.56/2,275.50
6. Step 6: Final answer
   x = 3,765.67