Finding the Third Proportional to 1,046.67 and 2,256.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,046.67 : 2,256.61 = 2,256.61 : x
2. Step 2: Convert to fraction form
   1,046.67/2,256.61 = 2,256.61/x
3. Step 3: Cross multiply
   1,046.67x = 2,256.61 × 2,256.61
4. Step 4: Simplify right side
   1,046.67x = 5,092,285.87
5. Step 5: Solve for x
   x = 5,092,285.87/1,046.67
6. Step 6: Final answer
   x = 4,865.22