Finding the Third Proportional to 2,496.13 and 3,695.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,496.13 : 3,695.38 = 3,695.38 : x
2. Step 2: Convert to fraction form
   2,496.13/3,695.38 = 3,695.38/x
3. Step 3: Cross multiply
   2,496.13x = 3,695.38 × 3,695.38
4. Step 4: Simplify right side
   2,496.13x = 13,655,796.39
5. Step 5: Solve for x
   x = 13,655,796.39/2,496.13
6. Step 6: Final answer
   x = 5,470.80