Finding the Third Proportional to 2,392.88 and 3,695.91

Step by Step Solution

1. Step 1: Write the proportion equation
   2,392.88 : 3,695.91 = 3,695.91 : x
2. Step 2: Convert to fraction form
   2,392.88/3,695.91 = 3,695.91/x
3. Step 3: Cross multiply
   2,392.88x = 3,695.91 × 3,695.91
4. Step 4: Simplify right side
   2,392.88x = 13,659,723.01
5. Step 5: Solve for x
   x = 13,659,723.01/2,392.88
6. Step 6: Final answer
   x = 5,708.50