Finding the Third Proportional to 2,204 and 4,156

Step by Step Solution

1. Step 1: Write the proportion equation
   2,204 : 4,156 = 4,156 : x
2. Step 2: Convert to fraction form
   2,204/4,156 = 4,156/x
3. Step 3: Cross multiply
   2,204x = 4,156 × 4,156
4. Step 4: Simplify right side
   2,204x = 17,272,336
5. Step 5: Solve for x
   x = 17,272,336/2,204
6. Step 6: Final answer
   x = 7,836.81