Finding the Third Proportional to 2,882.81 and 4,478.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,882.81 : 4,478.06 = 4,478.06 : x
2. Step 2: Convert to fraction form
   2,882.81/4,478.06 = 4,478.06/x
3. Step 3: Cross multiply
   2,882.81x = 4,478.06 × 4,478.06
4. Step 4: Simplify right side
   2,882.81x = 20,053,043.75
5. Step 5: Solve for x
   x = 20,053,043.75/2,882.81
6. Step 6: Final answer
   x = 6,956.07