Finding the Third Proportional to 2,656.13 and 3,906.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,656.13 : 3,906.14 = 3,906.14 : x
2. Step 2: Convert to fraction form
   2,656.13/3,906.14 = 3,906.14/x
3. Step 3: Cross multiply
   2,656.13x = 3,906.14 × 3,906.14
4. Step 4: Simplify right side
   2,656.13x = 15,257,934.58
5. Step 5: Solve for x
   x = 15,257,934.58/2,656.13
6. Step 6: Final answer
   x = 5,744.43