Finding the Third Proportional to 1,046.75 and 2,275.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,046.75 : 2,275.56 = 2,275.56 : x
2. Step 2: Convert to fraction form
   1,046.75/2,275.56 = 2,275.56/x
3. Step 3: Cross multiply
   1,046.75x = 2,275.56 × 2,275.56
4. Step 4: Simplify right side
   1,046.75x = 5,178,184.69
5. Step 5: Solve for x
   x = 5,178,184.69/1,046.75
6. Step 6: Final answer
   x = 4,946.92