Finding the Third Proportional to 13,204 and 17,158

Step by Step Solution

1. Step 1: Write the proportion equation
   13,204 : 17,158 = 17,158 : x
2. Step 2: Convert to fraction form
   13,204/17,158 = 17,158/x
3. Step 3: Cross multiply
   13,204x = 17,158 × 17,158
4. Step 4: Simplify right side
   13,204x = 294,396,964
5. Step 5: Solve for x
   x = 294,396,964/13,204
6. Step 6: Final answer
   x = 22,296.04