Finding the Third Proportional to 1,521.72 and 2,046.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,521.72 : 2,046.57 = 2,046.57 : x
2. Step 2: Convert to fraction form
   1,521.72/2,046.57 = 2,046.57/x
3. Step 3: Cross multiply
   1,521.72x = 2,046.57 × 2,046.57
4. Step 4: Simplify right side
   1,521.72x = 4,188,469.03
5. Step 5: Solve for x
   x = 4,188,469.03/1,521.72
6. Step 6: Final answer
   x = 2,752.46