Finding the Third Proportional to 2,537.16 and 3,392.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,537.16 : 3,392.72 = 3,392.72 : x
2. Step 2: Convert to fraction form
   2,537.16/3,392.72 = 3,392.72/x
3. Step 3: Cross multiply
   2,537.16x = 3,392.72 × 3,392.72
4. Step 4: Simplify right side
   2,537.16x = 11,510,540.52
5. Step 5: Solve for x
   x = 11,510,540.52/2,537.16
6. Step 6: Final answer
   x = 4,536.79