Finding the Third Proportional to 2,956.50 and 4,212

Step by Step Solution

1. Step 1: Write the proportion equation
   2,956.50 : 4,212 = 4,212 : x
2. Step 2: Convert to fraction form
   2,956.50/4,212 = 4,212/x
3. Step 3: Cross multiply
   2,956.50x = 4,212 × 4,212
4. Step 4: Simplify right side
   2,956.50x = 17,740,944
5. Step 5: Solve for x
   x = 17,740,944/2,956.50
6. Step 6: Final answer
   x = 6,000.66