Finding the Third Proportional to 2,956.50 and 4,806.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,956.50 : 4,806.56 = 4,806.56 : x
2. Step 2: Convert to fraction form
   2,956.50/4,806.56 = 4,806.56/x
3. Step 3: Cross multiply
   2,956.50x = 4,806.56 × 4,806.56
4. Step 4: Simplify right side
   2,956.50x = 23,103,043.07
5. Step 5: Solve for x
   x = 23,103,043.07/2,956.50
6. Step 6: Final answer
   x = 7,814.32