Finding the Third Proportional to 8,406 and 13,158

Step by Step Solution

1. Step 1: Write the proportion equation
   8,406 : 13,158 = 13,158 : x
2. Step 2: Convert to fraction form
   8,406/13,158 = 13,158/x
3. Step 3: Cross multiply
   8,406x = 13,158 × 13,158
4. Step 4: Simplify right side
   8,406x = 173,132,964
5. Step 5: Solve for x
   x = 173,132,964/8,406
6. Step 6: Final answer
   x = 20,596.36